Skip to main content

Articles

Page 3 of 84

  1. Dedekind sums occur in the transformation behavior of the logarithm of the Dedekind eta-function under substitutions from the modular group. In 1892, Dedekind showed a reciprocity relation for the Dedekind sum...

    Authors: Taekyun Kim, Dae San Kim, Hyunseok Lee and Lee-Chae Jang

    Citation: Advances in Difference Equations 2020 2020:563

    Content type: Research

    Published on:

  2. In this paper, we assess an integral containing incomplete H-functions and utilize it to build up an expansion formula for the incomplete H-functions including the Bessel function. Next, we evaluate an integral c...

    Authors: Sapna Meena, Sanjay Bhatter, Kamlesh Jangid and Sunil Dutt Purohit

    Citation: Advances in Difference Equations 2020 2020:562

    Content type: Research

    Published on:

  3. In this paper, we present two new unified integral formulas involving a generalized V-function. Some interesting special cases of the main results are also considered in the form of corollaries. Due to the gen...

    Authors: S. Chandak, S. K. Q. Al-Omari and D. L. Suthar

    Citation: Advances in Difference Equations 2020 2020:560

    Content type: Research

    Published on:

  4. In this paper, we consider an inverse source problem for the time-space-fractional diffusion equation. Here, in the sense of Hadamard, we prove that the problem is severely ill-posed. By applying the quasi-rev...

    Authors: Erdal Karapinar, Devendra Kumar, Rathinasamy Sakthivel, Nguyen Hoang Luc and N. H. Can

    Citation: Advances in Difference Equations 2020 2020:557

    Content type: Research

    Published on:

  5. The present paper describes the implicit fractional pantograph differential equation in the context of generalized fractional derivative and anti-periodic conditions. We formulated the Green’s function of the ...

    Authors: Idris Ahmed, Poom Kumam, Thabet Abdeljawad, Fahd Jarad, Piyachat Borisut, Musa Ahmed Demba and Wiyada Kumam

    Citation: Advances in Difference Equations 2020 2020:555

    Content type: Research

    Published on:

  6. The aim of this paper is to present several fixed-point results for L-contractive multivalued mappings involving θ-functions in the class of metric spaces. We also give some examples in support of the related con...

    Authors: M. A. Barakat, Hassen Aydi, Aiman Mukheimer, Ahmed A. Soliman and Abdallah Hyder

    Citation: Advances in Difference Equations 2020 2020:554

    Content type: Research

    Published on:

  7. The aim of this work is to improve the oscillation results for second-order neutral differential equations with damping term. We consider the noncanonical case which always leads to two independent conditions ...

    Authors: Osama Moaaz, George E. Chatzarakis, Thabet Abdeljawad, Clemente Cesarano and Amany Nabih

    Citation: Advances in Difference Equations 2020 2020:553

    Content type: Research

    Published on:

  8. In this paper, some estimators are proposed for nonlinear dynamical systems with the general conformable derivative. In order to analyze the stability of these estimators, some Lyapunov-like theorems are prese...

    Authors: Fidel Meléndez-Vázquez, Guillermo Fernández-Anaya and Eduardo G. Hernández-Martínez

    Citation: Advances in Difference Equations 2020 2020:551

    Content type: Research

    Published on:

  9. A Bézier model with shape parameters is one of the momentous research topics in geometric modeling and computer-aided geometric design. In this study, a new recursive formula in explicit expression is construc...

    Authors: Sidra Maqsood, Muhammad Abbas, Kenjiro T. Miura, Abdul Majeed and Azhar Iqbal

    Citation: Advances in Difference Equations 2020 2020:550

    Content type: Research

    Published on:

  10. In this research paper, we introduce a general structure of a fractional boundary value problem in which a 2-term fractional differential equation has a fractional bi-order setting of Riemann–Liouville type. M...

    Authors: Salim Ben Chikh, Abdelkader Amara, Sina Etemad and Shahram Rezapour

    Citation: Advances in Difference Equations 2020 2020:547

    Content type: Research

    Published on:

  11. The Sturm–Liouville equation is one of classical famous differential equations which has been studied from different of views in the literature. In this work, we are going to review its fractional hybrid inclu...

    Authors: Zohreh Zeinalabedini Charandabi and Shahram Rezapour

    Citation: Advances in Difference Equations 2020 2020:546

    Content type: Research

    Published on:

  12. Inequality theory provides a significant mechanism for managing symmetrical aspects in real-life circumstances. The renowned distinguishing feature of integral inequalities and fractional calculus has a solid ...

    Authors: Shu-Bo Chen, Saima Rashid, Muhammad Aslam Noor, Zakia Hammouch and Yu-Ming Chu

    Citation: Advances in Difference Equations 2020 2020:543

    Content type: Research

    Published on:

  13. The purpose of this article is to discuss the dynamics of the spread of Ebola virus disease (EVD), a kind of fever commonly known as Ebola hemorrhagic fever. It is rare but severe and is considered to be extre...

    Authors: Muhammad Rafiq, Waheed Ahmad, Mujahid Abbas and Dumitru Baleanu

    Citation: Advances in Difference Equations 2020 2020:540

    Content type: Research

    Published on:

  14. In this paper, we introduce the notion of an αζ̃ http://static-content.springer.com/image/art%3A10.1186%2Fs13662-020-02992-4/MediaObjects/13662_2020_2992_IEq1_HTML.gif –Pata contraction that combines well-known concepts, such as the Pata contraction, the E-contraction and the simulation function. Existence and uniqueness of ...

    Authors: Erdal Karapinar, Andreea Fulga and Hassen Aydi

    Citation: Advances in Difference Equations 2020 2020:539

    Content type: Research

    Published on:

  15. The article considers several polynomials induced by admissible lower triangular matrices and studies their subordination properties. The concept generalizes the notion of stable functions in the unit disk. Se...

    Authors: Saiful R. Mondal, Kottakkaran Sooppy Nisar and Thabet Abdeljawad

    Citation: Advances in Difference Equations 2020 2020:538

    Content type: Research

    Published on:

  16. The Glimm scheme is one of the so famous techniques for getting solutions of the general initial value problem by building a convergent sequence of approximate solutions. The approximation scheme is based on t...

    Authors: Mahmoud A. E. Abdelrahman and Hanan A. Alkhidhr

    Citation: Advances in Difference Equations 2020 2020:535

    Content type: Research

    Published on:

  17. The main purpose of this paper is to investigate the Fourier series representation of the generalized Apostol-type Frobenius–Euler polynomials, and using the above-mentioned series we find its integral represe...

    Authors: Alejandro Urieles, William Ramírez, María José Ortega and Daniel Bedoya

    Citation: Advances in Difference Equations 2020 2020:534

    Content type: Research

    Published on:

  18. The approximate numerical solution of the linear second kind of fuzzy integral Fredholm equations is discussed in this article. A new approach uses hybrid functions, and some useful properties of these functio...

    Authors: Praveen Agarwal, Mohamed Ramadan, Heba S. Osheba and Yu-Ming Chu

    Citation: Advances in Difference Equations 2020 2020:533

    Content type: Research

    Published on:

  19. This paper is concerned with the asymptotic stability of linear fractional-order neutral delay differential–algebraic systems described by the Caputo–Fabrizio (CF) fractional derivative. A novel characteristic...

    Authors: Ann Al Sawoor

    Citation: Advances in Difference Equations 2020 2020:531

    Content type: Research

    Published on:

  20. In this paper, we consider the dynamics of a stochastic Gilpin–Ayala model with regime switching and impulsive perturbations. The Gilpin–Ayala parameter is also allowed to switch. Sufficient conditions for ext...

    Authors: Yuan Jiang, Zijian Liu, Jin Yang and Yuanshun Tan

    Citation: Advances in Difference Equations 2020 2020:530

    Content type: Research

    Published on:

  21. In this paper, a novel coronavirus (2019-nCov) mathematical model with modified parameters is presented. This model consists of six nonlinear fractional order differential equations. Optimal control of the sug...

    Authors: N. H. Sweilam, S. M. Al-Mekhlafi, A. O. Albalawi and D. Baleanu

    Citation: Advances in Difference Equations 2020 2020:528

    Content type: Research

    Published on:

  22. Coronavirus disease (COVID-19) is an infectious disease caused by a newly discovered coronavirus. This paper provides a numerical solution for the mathematical model of the novel coronavirus by the application...

    Authors: Elham Hashemizadeh and Mohammad Ali Ebadi

    Citation: Advances in Difference Equations 2020 2020:527

    Content type: Research

    Published on:

  23. This paper is concerned with the Lane–Emden boundary value problems arising in many real-life problems. Here, we discuss two numerical schemes based on Jacobi and Bernoulli wavelets for the solution of the gov...

    Authors: Mo Faheem, Arshad Khan and E. R. El-Zahar

    Citation: Advances in Difference Equations 2020 2020:526

    Content type: Research

    Published on:

  24. Blended compact difference (BCD) schemes with fourth- and sixth-order accuracy are proposed for approximating the three-dimensional (3D) variable coefficients elliptic partial differential equation (PDE) with ...

    Authors: Tingfu Ma and Yongbin Ge

    Citation: Advances in Difference Equations 2020 2020:525

    Content type: Research

    Published on:

  25. In this paper, we investigate the existence and stability of solutions for a class of optimal control problems with 1-mean equicontinuous controls, and the corresponding state equation is described by non-inst...

    Authors: Yi Chen and Kaixuan Meng

    Citation: Advances in Difference Equations 2020 2020:524

    Content type: Research

    Published on:

  26. This paper deals with a general SEIR model for the coronavirus disease 2019 (COVID-19) with the effect of time delay proposed. We get the stability theorems for the disease-free equilibrium and provide adequat...

    Authors: M. Radha and S. Balamuralitharan

    Citation: Advances in Difference Equations 2020 2020:523

    Content type: Research

    Published on:

  27. Alcoholism is a social phenomenon that affects all social classes and is a chronic disorder that causes the person to drink uncontrollably, which can bring a series of social problems. With this motivation, a ...

    Authors: Zizhen Zhang, Junchen Zou and Soumen Kundu

    Citation: Advances in Difference Equations 2020 2020:522

    Content type: Research

    Published on:

  28. The aim of the present study is to consider a heroin epidemic model with age-structure only in the active heroin users. The model was formulated with the help of available literature on heroin epidemic. Instea...

    Authors: Anwarud Din and Yongjin Li

    Citation: Advances in Difference Equations 2020 2020:521

    Content type: Research

    Published on:

  29. This manuscript considers a nonlinear coupled system under nonsingular kernel type derivative. The considered problem is investigated from two aspects including existence theory and approximate analytical solu...

    Authors: Manar A. Alqudah, Thabet Abdeljawad, Eiman, Kamal Shah, Fahd Jarad and Qasem Al-Mdallal

    Citation: Advances in Difference Equations 2020 2020:520

    Content type: Research

    Published on:

  30. In this study, the double Laplace Adomian decomposition method and the triple Laplace Adomian decomposition method are employed to solve one- and two-dimensional time-fractional Navier–Stokes problems, respect...

    Authors: Hassan Eltayeb, Imed Bachar and Yahya T. Abdalla

    Citation: Advances in Difference Equations 2020 2020:519

    Content type: Research

    Published on:

  31. Nonlinear Schrödinger’s equation and its variation structures assume a significant job in soliton dynamics. The soliton solutions of space-time fractional Fokas–Lenells equation with a relatively new definitio...

    Authors: N. Raza, M. S. Osman, Abdel-Haleem Abdel-Aty, Sayed Abdel-Khalek and Hatem R. Besbes

    Citation: Advances in Difference Equations 2020 2020:517

    Content type: Research

    Published on:

  32. The objective of this paper is to present two numerical techniques for solving generalized fractional differential equations. We develop Haar wavelets operational matrices to approximate the solution of genera...

    Authors: Mujeeb ur Rehman, Dumitru Baleanu, Jehad Alzabut, Muhammad Ismail and Umer Saeed

    Citation: Advances in Difference Equations 2020 2020:515

    Content type: Research

    Published on:

  33. An expectation for optimal integrated pest management is that the instantaneous numbers of natural enemies released should depend on the densities of both pest and natural enemy in the field. For this, a gener...

    Authors: Changtong Li, Sanyi Tang and Robert A. Cheke

    Citation: Advances in Difference Equations 2020 2020:514

    Content type: Research

    Published on:

  34. In the paper, a high-order alternating direction implicit (ADI) algorithm is presented to solve problems of unsteady convection and diffusion. The method is fourth- and second-order accurate in space and time,...

    Authors: Ben Wongsaijai, Nattakorn Sukantamala and Kanyuta Poochinapan

    Citation: Advances in Difference Equations 2020 2020:513

    Content type: Research

    Published on:

  35. In this paper, we study a modified extragradient method for computing a common solution to the split equilibrium problem and fixed point problem of a nonexpansive semigroup in real Hilbert spaces. The weak and...

    Authors: Yasir Arfat, Poom Kumam, Parinya Sa Ngiamsunthorn, Muhammad Aqeel Ahmad Khan, Hammad Sarwar and Hafiz Fukhar-ud-Din

    Citation: Advances in Difference Equations 2020 2020:512

    Content type: Research

    Published on:

Annual Journal Metrics

Editors-in-Chief

​​​​​​​mbnk_edit Martin Bohner, Missouri University of Science and Technology, United States of America | 

Martin's SpringerNature Publications

Elena_Braverman_image_edit Elena Braverman, University of Calgary Canada | 

Elena's SpringerNature Publications