Articles

Fractional versions of Minkowski-type integral inequalities via unified Mittag-Leffler function

We present unified versions of Minkowski-type fractional integral inequalities with the help of fractional integral operator based on a unified Mittag-Leffler function. These inequalities provide new as well a...

Authors: Shuang-Shuang Zhou, Ghulam Farid and Ayyaz Ahmad

Inequalities for fractional Riemann–Liouville integrals of certain class of convex functions

Fractional calculus operators play a very important role in generalizing concepts of calculus used in diverse fields of science. In this paper, we use Riemann–Liouville fractional integrals to establish genera...

Authors: Ghulam Farid, Josip Pec̆arić and Kamsing Nonlaopon

Application of Legendre polynomials based neural networks for the analysis of heat and mass transfer of a non-Newtonian fluid in a porous channel

In this paper, the mathematical models for flow and heat-transfer analysis of a non-Newtonian fluid with axisymmetric channels and porous walls are analyzed. The governing equations of the problem are derived ...

Authors: Naveed Ahmad Khan, Muhammad Sulaiman, Poom Kumam and Fawaz Khaled Alarfaj

A new mathematical model of multi-faced COVID-19 formulated by fractional derivative chains

It has been reported that there are seven different types of coronaviruses realized by individuals, containing those responsible for the SARS, MERS, and COVID-19 epidemics. Nowadays, numerous designs of COVID-...

Authors: Ibtisam Aldawish and Rabha W. Ibrahim

A subclass of meromorphic Janowski-type multivalent q-starlike functions involving a q-differential operator

Keeping in view the latest trends toward quantum calculus, due to its various applications in physics and applied mathematics, we introduce a new subclass of meromorphic multivalent functions in Janowski domai...

Authors: Bakhtiar Ahmad, Wali Khan Mashwani, Serkan Araci, Saima Mustafa, Muhammad Ghaffar Khan and Bilal Khan

Relative asymptotic equivalence of dynamic equations on time scales

Authors: Cosme Duque, Hugo Leiva and Abdessamad Tridane

Stochastic optimal control with random coefficients and associated stochastic Hamilton–Jacobi–Bellman equations

We consider the optimal control problem for stochastic differential equations (SDEs) with random coefficients under the recursive-type objective functional captured by the backward SDE (BSDE). Due to the rando...

Authors: Jun Moon

On approximation of Bernstein–Chlodowsky–Gadjiev type operators that fix \(e^{-2x}\)

Authors: Feyza Tanberk Okumuş, Mahmut Akyiğit, Khursheed J. Ansari and Fuat Usta

On three-term conjugate gradient method for optimization problems with applications on COVID-19 model and robotic motion control

The three-term conjugate gradient (CG) algorithms are among the efficient variants of CG algorithms for solving optimization models. This is due to their simplicity and low memory requirements. On the other ha...

Authors: Ibrahim Mohammed Sulaiman, Maulana Malik, Aliyu Muhammed Awwal, Poom Kumam, Mustafa Mamat and Shadi Al-Ahmad

Correction to: Qualitative analysis of a discrete-time phytoplankton–zooplankton model with Holling type-II response and toxicity

Authors: Muhammad Salman Khan, Maria Samreen, Hassen Aydi and Manuel De la Sen

Dynamics of a new stage-structured population model with transient and nontransient impulsive effects in a polluted environment

In this paper, we consider a new stage-structured population model with transient and nontransient impulsive effects in a polluted environment. By using the theories of impulsive differential equations, we obt...

Authors: Qi Quan, Wenyan Tang, Jianjun Jiao and Yuan Wang

Global solution to the compressible non-isothermal nematic liquid crystal equations with constant heat conductivity and vacuum

This paper considers the initial-boundary value problem of the one-dimensional full compressible nematic liquid crystal flow problem. The initial density is allowed to touch vacuum, and the viscous and heat co...

Authors: Tariq Mahmood and Mei Sun

Co-dimension two bifurcations analysis of a delayed tumor model with Allee effect

The mathematical model has become an important means to study tumor treatment and has developed with the discovery of medical phenomena. In this paper, we establish a delayed tumor model, in which the Allee ef...

Authors: Qinrui Dai

Oscillation criteria of third-order neutral differential equations with damping and distributed deviating arguments

Our objective in this paper is to study the oscillatory and asymptotic behavior of the solutions of third-order neutral differential equations with damping and distributed deviating arguments. New oscillation ...

Authors: Yakun Wang, Fanwei Meng and Juan Gu

Stability criteria for nonlinear Volterra integro-dynamic matrix Sylvester systems on measure chains

In this paper, we establish sufficient conditions for various stability aspects of a nonlinear Volterra integro-dynamic matrix Sylvester system on time scales. We convert the nonlinear Volterra integro-dynamic...

Authors: Sreenivasulu Ayyalappagari and Venkata Appa Rao Bhogapurapu

Lacunary statistical boundedness on time scales

In this paper, we introduce the concept of lacunary statistical boundedness of Δ-measurable real-valued functions on an arbitrary time scale. We also give the relations between statistical boundedness and lacu...

Authors: Bayram Sözbir and Selma Altundağ

On initial inverse problem for nonlinear couple heat with Kirchhoff type

The main objective of the paper is to study the final model for the Kirchhoff-type parabolic system. Such type problems have many applications in physical and biological phenomena. Under some smoothness of the...

Authors: Danh Hua Quoc Nam

Differential inequalities for spirallike and strongly starlike functions

In this paper, by using a technique of the first-order differential subordination, we find several sufficient conditions for an analytic function p such that

Authors: Nak Eun Cho, Oh Sang Kwon and Young Jae Sim

A new formulation of finite difference and finite volume methods for solving a space fractional convection–diffusion model with fewer error estimates

Convection and diffusion are two harmonious physical processes that transfer particles and physical quantities. This paper deals with a new aspect of solving the convection–diffusion equation in fractional ord...

Authors: Reem Edwan, Shrideh Al-Omari, Mohammed Al-Smadi, Shaher Momani and Andreea Fulga

Existence and asymptotic behavior of Radon measure-valued solutions for a class of nonlinear parabolic equations

In this paper we address the weak Radon measure-valued solutions associated with the Young measure for a class of nonlinear parabolic equations with initial data as a bounded Radon measure. This problem is des...

Authors: Quincy Stévène Nkombo, Fengquan Li and Christian Tathy

Approximation properties of a new family of Gamma operators and their applications

The present paper introduces a new modification of Gamma operators that protects polynomials in the sense of the Bohman–Korovkin theorem. In order to examine their approximation behaviours, the approximation p...

Authors: Reyhan Özçelik, Emrah Evren Kara, Fuat Usta and Khursheed J. Ansari

Global stability for a new predator–prey model with cross-dispersal among patches based on graph theory

In this paper, cross-dispersal is considered in a predator–prey model with a patchy environment. A new predator–prey model with cross-dispersal among patches is constructed. A new cross-dispersal matrix is est...

Authors: Yang Gao

Fourth derivative singularly P-stable method for the numerical solution of the Schrödinger equation

In this paper, we construct a method with eight steps that belongs to the family of Obrechkoff methods. Due to the explicit nature of the new method, not only does it not require another method as predictor, b...

Authors: Ali Shokri, Higinio Ramos, Mohammad Mehdizadeh Khalsaraei, Fikret A. Aliev and Martin Bohner

Poly-central factorial sequences and poly-central-Bell polynomials

In this paper, we introduce poly-central factorial sequences and poly-central Bell polynomials arising from the polyexponential functions, reducing them to central factorials and central Bell polynomials of th...

Authors: Hye Kyung Kim and Taekyun Kim

Framed slant helices in Euclidean 3-space

In this paper, we define framed slant helices and give a necessary and sufficient condition for them in three-dimensional Euclidean space. Then, we introduce the spherical images of a framed curve. Also, we ex...

Authors: Osman Zeki Okuyucu and Mevlüt Canbirdi

Common fixed point theorems for auxiliary functions with applications in fractional differential equation

In this work, we investigate h-ϕ contraction mappings with two metrics endowed with a directed graph which involve auxiliary functions. The achievement allows us to obtain applications for the existence of the so...

Authors: Ben Wongsaijai, Phakdi Charoensawan, Teeranush Suebcharoen and Watchareepan Atiponrat

On a degenerate parabolic equation from double phase convection

Authors: Huashui Zhan

Role of Newtonian heating on a Maxwell fluid via special functions: memory impact of local and nonlocal kernels

The impact of Newtonian heating on a time-dependent fractional magnetohydrodynamic (MHD) Maxwell fluid over an unbounded upright plate is investigated. The equations for heat, mass and momentum are established...

Authors: Nazish Iftikhar, Fatima Javed, Muhammad Bilal Riaz, Muhammad Abbas, Abdullah M. Alsharif and Y. S. Hamed

Special functions-based solutions of unsteady convective flow of a MHD Maxwell fluid for ramped wall temperature and velocity with concentration

In this paper a new approach is taken to find the exact solutions for generalized unsteady magnetohydrodynamic transport of a rate-type fluid near an unbounded upright plate and is analyzed for ramped wall tem...

Authors: Muhammad Bilal Riaz, Jan Awrejcewicz, Aziz Ur Rehman and Muhammad Abbas

Positive solutions for eigenvalue problems of fractional q-difference equation with ϕ-Laplacian

The aim of this paper is to investigate the boundary value problem of a fractional q-difference equation with ϕ-Laplacian, where ϕ-Laplacian is a generalized p-Laplacian operator. We obtain the existence and none...

Authors: Jufang Wang, Changlong Yu, Boya Zhang and Si Wang

On the generalized fractional snap boundary problems via G-Caputo operators: existence and stability analysis

This research is conducted for studying some qualitative specifications of solution to a generalized fractional structure of the standard snap boundary problem. We first rewrite the mathematical model of the e...

Authors: Mohammad Esmael Samei, Mohammed M. Matar, Sina Etemad and Shahram Rezapour

Existence of positive solutions for a system of nonlinear Caputo type fractional differential equations with two parameters

The main purpose of this paper is to prove the existence of positive solutions for a system of nonlinear Caputo-type fractional differential equations with two parameters. By using the Guo–Krasnosel’skii fixed...

Authors: Yang Chen and Hongyu Li

Another class of nonterminating \(_{3}F_{2}\)-series with a free argument

Authors: Nadia N. Li and Wenchang Chu

Efficient iterative methods for finding simultaneously all the multiple roots of polynomial equation

Two new iterative methods for the simultaneous determination of all multiple as well as distinct roots of nonlinear polynomial equation are established, using two suitable corrections to achieve a very high co...

Authors: Mudassir Shams, Naila Rafiq, Nasreen Kausar, Praveen Agarwal, Choonkil Park and Shaher Momani

Existence of solutions for a class of nonlinear boundary value problems on the hexasilinane graph

Chemical graph theory is a field of mathematics that studies ramifications of chemical network interactions. Using the concept of star graphs, several investigators have looked into the solutions to certain bo...

Authors: Ali Turab, Zoran D. Mitrović and Ana Savić

Generalized proportional fractional integral Hermite–Hadamard’s inequalities

The theory of fractional integral inequalities plays an intrinsic role in approximation theory also it has been a key in establishing the uniqueness of solutions for some fractional differential equations. Fra...

Authors: Tariq A. Aljaaidi, Deepak B. Pachpatte, Thabet Abdeljawad, Mohammed S. Abdo, Mohammed A. Almalahi and Saleh S. Redhwan

A parallel Tseng’s splitting method for solving common variational inclusion applied to signal recovery problems

In this work we propose an accelerated algorithm that combines various techniques, such as inertial proximal algorithms, Tseng’s splitting algorithm, and more, for solving the common variational inclusion prob...

Authors: Raweerote Suparatulatorn, Watcharaporn Cholamjiak, Aviv Gibali and Thanasak Mouktonglang

An analysis on the controllability and stability to some fractional delay dynamical systems on time scales with impulsive effects

In this article, we establish a new class of mixed integral fractional delay dynamic systems with impulsive effects on time scales. We investigate the qualitative properties of the considered systems. In fact,...

Authors: Bakhtawar Pervaiz, Akbar Zada, Sina Etemad and Shahram Rezapour

Geometric modeling of some engineering GBT-Bézier surfaces with shape parameters and their applications

Authors: Sidra Maqsood, Muhammad Abbas, Kenjiro T. Miura, Abdul Majeed, Samia BiBi and Tahir Nazir

The properties of the solution for a class of switched systems with internally forced switching

In this paper, the dynamic behavior of a class of switched systems with internally forced switching (IFS) is investigated. By introducing the definitions of continuous dependence and differentiability, the con...

Authors: Huanting Li and Xiankang Chen

Dynamics model analysis of bacteriophage infection of bacteria

A bacteriophage (in short, phage) is a virus that can infect and replicate within bacteria. Assuming that uninfected and infected bacteria are capable of reproducing with logistic law, we investigate a model o...

Authors: Xiaoping Li, Rong Huang and Minyuan He

Mathematical analysis of a fractional resource-consumer model with disease developed in consumer

The research presents a qualitative investigation of a fractional-order consumer-resource system with the hunting cooperation interaction functional and an infection developed in the resources population. The ...

Authors: Abdelheq Mezouaghi, Abdelkader Benali, Sunil Kumar, Salih Djilali, Anwar Zeb and Shahram Rezapour

Lie symmetry analysis and invariant solutions of 3D Euler equations for axisymmetric, incompressible, and inviscid flow in the cylindrical coordinates

Through the Lie symmetry analysis method, the axisymmetric, incompressible, and inviscid fluid is studied. The governing equations that describe the flow are the Euler equations. Under intensive observation, t...

Authors: R. Sadat, Praveen Agarwal, R. Saleh and Mohamed R. Ali

Some variants of Wardowski fixed point theorem

The purpose of this paper is to consider some F-contraction mappings in a dualistic partial metric space and to provide sufficient related conditions for the existence of a fixed point. The obtained results are e...

Authors: Muhammad Nazam, Hassen Aydi, Choonkil Park, Muhammad Arshad, Ekrem Savas and Dong Yun Shin

A note on the approximate controllability of second-order integro-differential evolution control systems via resolvent operators

The approximate controllability of second-order integro-differential evolution control systems using resolvent operators is the focus of this work. We analyze approximate controllability outcomes by referring ...

Authors: Velusamy Vijayakumar, Anurag Shukla, Kottakkaran Sooppy Nisar, Wasim Jamshed and Shahram Rezapour

A terrorism-based differential game: Nash differential game

In this paper, we investigate the problem of combating terrorism by the government, which is one of the most serious problems that direct governments and countries. We formulate the problem and use the Nash ap...

Authors: Abd El-Monem A. Megahed

Well-posed conditions on a class of fractional q-differential equations by using the Schauder fixed point theorem

In this paper, we propose the conditions on which a class of boundary value problems, presented by fractional q-differential equations, is well-posed. First, under the suitable conditions, we will prove the exist...

Authors: Mohammad Esmael Samei, Ahmad Ahmadi, A. George Maria Selvam, Jehad Alzabut and Shahram Rezapour

New discussion on nonlocal controllability for fractional evolution system of order \(1 < r < 2\)

Authors: M. Mohan Raja, Velusamy Vijayakumar, Anurag Shukla, Kottakkaran Sooppy Nisar and Shahram Rezapour

On iterative techniques for estimating all roots of nonlinear equation and its system with application in differential equation

In this article, we construct a family of iterative methods for finding a single root of nonlinear equation and then generalize this family of iterative methods for determining all roots of nonlinear equations...

Authors: Mudassir Shams, Naila Rafiq, Nasreen Kausar, Praveen Agarwal, Choonkil Park and Nazir Ahmad Mir

On λ-linear functionals arising from p-adic integrals on \(\mathbb{Z}_{p}\)

Authors: Dae San Kim, Taekyun Kim, Jongkyum Kwon, Si-Hyeon Lee and Seongho Park