TY - STD TI - He, J.H.: Nonlinear oscillation with fractional derivative and its applications. In: Int Conf Vibrating Engg 98, Dalian pp. 288–291 ID - ref1 ER - TY - JOUR AU - He, J. H. PY - 1999 DA - 1999// TI - Homotopy perturbation technique JO - Comput. Methods Appl. Mech. Eng. VL - 178 UR - https://doi.org/10.1016/S0045-7825(99)00018-3 DO - 10.1016/S0045-7825(99)00018-3 ID - He1999 ER - TY - JOUR AU - Wu, X. AU - Lai, D. AU - Lu, H. PY - 2012 DA - 2012// TI - Generalized synchronization of the fractional-order chaos in weighted complex dynamical networks with nonidentical nodes JO - Nonlinear Dyn. VL - 69 UR - https://doi.org/10.1007/s11071-011-0295-9 DO - 10.1007/s11071-011-0295-9 ID - Wu2012 ER - TY - BOOK AU - Sheng, H. AU - Chen, Y. AU - Qiu, T. PY - 2011 DA - 2011// TI - Fractional Processes and Fractional-Order Signal Processing: Techniques and Applications PB - Springer CY - Berlin ID - Sheng2011 ER - TY - JOUR AU - Nasrolahpour, H. PY - 2013 DA - 2013// TI - A note on fractional electrodynamics JO - Commun. Nonlinear Sci. Numer. Simul. VL - 18 UR - https://doi.org/10.1016/j.cnsns.2013.01.005 DO - 10.1016/j.cnsns.2013.01.005 ID - Nasrolahpour2013 ER - TY - JOUR AU - Veeresha, P. AU - Prakasha, D. G. AU - Baskonus, H. M. PY - 2019 DA - 2019// TI - New numerical surfaces to the mathematical model of cancer chemotherapy effect in Caputo fractional derivatives JO - Chaos, Interdiscip. J. Nonlinear Sci. VL - 29 UR - https://doi.org/10.1063/1.5074099 DO - 10.1063/1.5074099 ID - Veeresha2019 ER - TY - JOUR AU - Longhi, S. PY - 2015 DA - 2015// TI - Fractional Schrödinger equation in optics JO - Opt. Lett. VL - 40 UR - https://doi.org/10.1364/OL.40.001117 DO - 10.1364/OL.40.001117 ID - Longhi2015 ER - TY - JOUR AU - Singh, J. AU - Kumar, D. AU - Baleanu, D. PY - 2018 DA - 2018// TI - On the analysis of fractional diabetes model with exponential law JO - Adv. Differ. Equ. VL - 2018 UR - https://doi.org/10.1186/s13662-018-1680-1 DO - 10.1186/s13662-018-1680-1 ID - Singh2018 ER - TY - JOUR AU - Khan, H. AU - Shah, R. AU - Kumam, P. AU - Baleanu, D. AU - Arif, M. PY - 2020 DA - 2020// TI - Laplace decomposition for solving nonlinear system of fractional order partial differential equations JO - Adv. Differ. Equ. VL - 2020 UR - https://doi.org/10.1186/s13662-020-02839-y DO - 10.1186/s13662-020-02839-y ID - Khan2020 ER - TY - JOUR AU - Shah, R. AU - Khan, H. AU - Baleanu, D. AU - Kumam, P. AU - Arif, M. PY - 2019 DA - 2019// TI - A novel method for the analytical solution of fractional Zakharov–Kuznetsov equations JO - Adv. Differ. Equ. VL - 2019 UR - https://doi.org/10.1186/s13662-019-2441-5 DO - 10.1186/s13662-019-2441-5 ID - Shah2019 ER - TY - JOUR AU - Ali, I. AU - Khan, H. AU - Shah, R. AU - Baleanu, D. AU - Kumam, P. AU - Arif, M. PY - 2020 DA - 2020// TI - Fractional view analysis of acoustic wave equations, using fractional-order differential equations JO - Appl. Sci. VL - 10 UR - https://doi.org/10.3390/app10020610 DO - 10.3390/app10020610 ID - Ali2020 ER - TY - BOOK AU - Hilfer, R. PY - 1999 DA - 1999// TI - Applications of Fractional Calculus in Physics ID - Hilfer1999 ER - TY - BOOK AU - Kilbas, A. A. AU - Srivastava, H. M. AU - Trujillo, J. J. PY - 2006 DA - 2006// TI - Theory and Applications of Fractional Differential Equations (Vol. 204) PB - Elsevier CY - Amsterdam ID - Kilbas2006 ER - TY - JOUR AU - Das, S. PY - 2009 DA - 2009// TI - A note on fractional diffusion equations JO - Chaos Solitons Fractals VL - 42 UR - https://doi.org/10.1016/j.chaos.2009.03.163 DO - 10.1016/j.chaos.2009.03.163 ID - Das2009 ER - TY - JOUR AU - Navier, C. L. H. PY - 1822 DA - 1822// TI - Mémoire sur les lois du mouvement des fluides JO - Mém. Acad. Sci. Inst. Fr. VL - 6 ID - Navier1822 ER - TY - JOUR AU - El-Shahed, M. AU - Salem, A. PY - 2005 DA - 2005// TI - On the generalized Navier–Stokes equations JO - Appl. Math. Comput. VL - 156 ID - El-Shahed2005 ER - TY - JOUR AU - Kumar, D. AU - Singh, J. AU - Kumar, S. PY - 2015 DA - 2015// TI - A fractional model of Navier–Stokes equation arising in unsteady flow of a viscous fluid JO - J. Assoc. Arab Univ. Basic Appl. Sci. VL - 17 ID - Kumar2015 ER - TY - JOUR AU - Kumar, S. AU - Kumar, D. AU - Abbasbandy, S. AU - Rashidi, M. M. PY - 2014 DA - 2014// TI - Analytical solution of fractional Navier–Stokes equation by using modified Laplace decomposition method JO - Ain Shams Eng. J. VL - 5 UR - https://doi.org/10.1016/j.asej.2013.11.004 DO - 10.1016/j.asej.2013.11.004 ID - Kumar2014 ER - TY - JOUR AU - Ganji, Z. Z. AU - Ganji, D. D. AU - Ganji, A. D. AU - Rostamian, M. PY - 2010 DA - 2010// TI - Analytical solution of time-fractional Navier–Stokes equation in polar coordinate by homotopy perturbation method JO - Numer. Methods Partial Differ. Equ. VL - 26 UR - https://doi.org/10.1002/num.20420 DO - 10.1002/num.20420 ID - Ganji2010 ER - TY - JOUR AU - Ragab, A. A. AU - Hemida, K. M. AU - Mohamed, M. S. AU - Abd El Salam, M. A. PY - 2012 DA - 2012// TI - Solution of time-fractional Navier–Stokes equation by using homotopy analysis method JO - Gen. Math. Notes VL - 13 ID - Ragab2012 ER - TY - JOUR AU - Mahmood, S. AU - Shah, R. AU - Arif, M. PY - 2019 DA - 2019// TI - Laplace Adomian decomposition method for multi dimensional time fractional model of Navier–Stokes equation JO - Symmetry VL - 11 UR - https://doi.org/10.3390/sym11020149 DO - 10.3390/sym11020149 ID - Mahmood2019 ER - TY - JOUR AU - Momani, S. AU - Odibat, Z. PY - 2006 DA - 2006// TI - Analytical solution of a time-fractional Navier–Stokes equation by Adomian decomposition method JO - Appl. Math. Comput. VL - 177 ID - Momani2006 ER - TY - JOUR AU - Birajdar, G. A. PY - 2014 DA - 2014// TI - Numerical solution of time fractional Navier–Stokes equation by discrete Adomian decomposition method JO - Nonlinear Eng. VL - 3 UR - https://doi.org/10.1515/nleng-2012-0004 DO - 10.1515/nleng-2012-0004 ID - Birajdar2014 ER - TY - JOUR AU - Chaurasia, V. B. L. AU - Kumar, D. PY - 2011 DA - 2011// TI - Solution of the time-fractional Navier–Stokes equation JO - Gen. Math. Notes VL - 4 ID - Chaurasia2011 ER - TY - JOUR AU - Prakash, A. AU - Veeresha, P. AU - Prakasha, D. G. AU - Goyal, M. PY - 2019 DA - 2019// TI - A new efficient technique for solving fractional coupled Navier–Stokes equations using q-homotopy analysis transform method JO - Pramana VL - 93 UR - https://doi.org/10.1007/s12043-019-1763-x DO - 10.1007/s12043-019-1763-x ID - Prakash2019 ER - TY - JOUR AU - Singh, B. K. AU - Kumar, P. PY - 2018 DA - 2018// TI - FRDTM for numerical simulation of multi-dimensional, time-fractional model of Navier–Stokes equation JO - Ain Shams Eng. J. VL - 9 UR - https://doi.org/10.1016/j.asej.2016.04.009 DO - 10.1016/j.asej.2016.04.009 ID - Singh2018 ER - TY - JOUR AU - Thabet, H. AU - Kendre, S. AU - Peters, J. PY - 2019 DA - 2019// TI - Travelling wave solutions for fractional Korteweg–de Vries equations via an approximate-analytical method JO - AIMS Math. VL - 4 UR - https://doi.org/10.3934/math.2019.4.1203 DO - 10.3934/math.2019.4.1203 ID - Thabet2019 ER - TY - JOUR AU - Prakash, A. AU - Kumar, M. AU - Baleanu, D. PY - 2018 DA - 2018// TI - A new iterative technique for a fractional model of nonlinear Zakharov–Kuznetsov equations via Sumudu transform JO - Appl. Math. Comput. VL - 334 ID - Prakash2018 ER - TY - JOUR AU - Prakash, A. AU - Veeresha, P. AU - Prakasha, D. G. AU - Goyal, M. PY - 2019 DA - 2019// TI - A homotopy technique for a fractional order multi-dimensional telegraph equation via the Laplace transform JO - Eur. Phys. J. Plus VL - 134 UR - https://doi.org/10.1140/epjp/i2019-12411-y DO - 10.1140/epjp/i2019-12411-y ID - Prakash2019 ER - TY - JOUR AU - Kumar, D. AU - Singh, J. AU - Prakash, A. AU - Swroop, R. PY - 2019 DA - 2019// TI - Numerical simulation for system of time-fractional linear and nonlinear differential equations JO - Prog. Fract. Differ. Appl. VL - 5 UR - https://doi.org/10.18576/pfda/050107 DO - 10.18576/pfda/050107 ID - Kumar2019 ER - TY - JOUR AU - Goyal, M. AU - Baskonus, H. M. AU - Prakash, A. PY - 2019 DA - 2019// TI - An efficient technique for a time fractional model of lassa hemorrhagic fever spreading in pregnant women JO - Eur. Phys. J. Plus VL - 134 UR - https://doi.org/10.1140/epjp/i2019-12854-0 DO - 10.1140/epjp/i2019-12854-0 ID - Goyal2019 ER - TY - JOUR AU - Goyal, M. AU - Baskonus, H. M. AU - Prakash, A. PY - 2020 DA - 2020// TI - Regarding new positive, bounded and convergent numerical solution of nonlinear time fractional HIV/AIDS transmission model JO - Chaos Solitons Fractals VL - 139 UR - https://doi.org/10.1016/j.chaos.2020.110096 DO - 10.1016/j.chaos.2020.110096 ID - Goyal2020 ER - TY - JOUR AU - Prakash, A. AU - Prakasha, D. G. AU - Veeresha, P. PY - 2019 DA - 2019// TI - A reliable algorithm for time-fractional Navier–Stokes equations via Laplace transform JO - Nonlinear Eng. VL - 8 UR - https://doi.org/10.1515/nleng-2018-0080 DO - 10.1515/nleng-2018-0080 ID - Prakash2019 ER - TY - JOUR AU - Prakash, A. AU - Goyal, M. AU - Gupta, S. PY - 2019 DA - 2019// TI - A reliable algorithm for fractional Bloch model arising in magnetic resonance imaging JO - Pramana VL - 92 UR - https://doi.org/10.1007/s12043-018-1683-1 DO - 10.1007/s12043-018-1683-1 ID - Prakash2019 ER - TY - JOUR AU - Prakash, A. AU - Kaur, H. PY - 2021 DA - 2021// TI - Analysis and numerical simulation of fractional Biswas–Milovic model JO - Math. Comput. Simul. VL - 181 UR - https://doi.org/10.1016/j.matcom.2020.09.016 DO - 10.1016/j.matcom.2020.09.016 ID - Prakash2021 ER - TY - JOUR AU - Shah, R. AU - Farooq, U. AU - Khan, H. AU - Baleanu, D. AU - Kumam, P. AU - Arif, M. PY - 2020 DA - 2020// TI - Fractional view analysis of third order Kortewege–de Vries equations, using a new analytical technique JO - Front. Phys. VL - 7 UR - https://doi.org/10.3389/fphy DO - 10.3389/fphy ID - Shah2020 ER - TY - JOUR AU - Sontakke, B. R. AU - Shaikh, A. S. PY - 2015 DA - 2015// TI - Properties of Caputo operator and its applications to linear fractional differential equations JO - Int. J. Eng. Res. Appl. VL - 5 ID - Sontakke2015 ER -