An analysis for heat equations arises in diffusion process using new Yang‐Abdel‐Aty‐Cattani fractional operator

A new Rabotnov fractional‐exponential function‐based fractional derivative for diffusion equation under external force

(2020) Sunil Kumar et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Some mixed trigonometric complex soliton solutions to the perturbed nonlinear Schrödinger equation

(2020) Wei Gao et al.   MODERN PHYSICS LETTERS B

A study of behaviour for immune and tumor cells in immunogenetic tumour model with non-singular fractional derivative

(2020) Behzad Ghanbari et al.   CHAOS SOLITONS & FRACTALS

New idea of Atangana and Baleanu fractional derivatives to human blood flow in nanofluids

(2019) Ilyas Khan   CHAOS

Numerical solutions of the fractional Fisher’s type equations with Atangana-Baleanu fractional derivative by using spectral collocation methods

(2019) K. M. Saad et al.   CHAOS

Analysis of a fractional eigenvalue problem involving Atangana-Baleanu fractional derivative: A maximum principle and applications

(2019) Mohammed Al-Refai et al.   CHAOS

Existence theory and numerical solutions to smoking model under Caputo-Fabrizio fractional derivative

(2019) Sajjad Ali Khan et al.   CHAOS

Solutions of the linear and nonlinear differential equations within the generalized fractional derivatives

(2019) Esra Karatas Akgül   CHAOS

Analytical Solutions of Fractional-Order Heat and Wave Equations by the Natural Transform Decomposition Method

(2019) Hassan Khan et al.   Entropy

On a New Class of Fractional Difference-Sum Operators with Discrete Mittag-Leffler Kernels

(2019) Thabet Abdeljawad et al.   Mathematics

New numerical simulations for some real world problems with Atangana–Baleanu fractional derivative

(2019) Wei Gao et al.   CHAOS SOLITONS & FRACTALS

Optical Soliton Solutions of the Cubic-Quartic Nonlinear Schrödinger and Resonant Nonlinear Schrödinger Equation with the Parabolic Law

(2019) Wei Gao et al.   Applied Sciences-Basel

Analytical approach for time fractional wave equations in the sense of Yang-Abdel-Aty-Cattani via the homotopy perturbation transform method

(2019) Mohamed Jleli et al.   Alexandria Engineering Journal

A powerful approach for fractional Drinfeld–Sokolov–Wilson equation with Mittag-Leffler law

(2019) Wei Gao et al.   Alexandria Engineering Journal

The Prabhakar or three parameter Mittag–Leffler function: Theory and application

(2018) Roberto Garra et al.   Communications in Nonlinear Science and Numerical Simulation

A novel method for a fractional derivative with non-local and non-singular kernel

(2018) Ali Akgül   CHAOS SOLITONS & FRACTALS

New predictor‐corrector scheme for solving nonlinear differential equations with Caputo‐Fabrizio operator

(2018) Yoke Teng Toh et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Residual Power Series Method for Fractional Diffusion Equations

(2017) Amit Kumar et al.   FUNDAMENTA INFORMATICAE

A New Family of the Local Fractional PDEs

(2017) Xiao-Jun Yang et al.   FUNDAMENTA INFORMATICAE

On the solution of higher-order difference equations

(2016) Ali Akgül   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

APPLICATION OF THE CAPUTO-FABRIZIO FRACTIONAL DERIVATIVE WITHOUT SINGULAR KERNEL TO KORTEWEG-DE VRIES-BURGERS EQUATION∗

(2016) Emile Franc Doungmo Goufo   Mathematical Modelling and Analysis

Exact solutions of time fractional heat-like and wave-like equations with variable coefficients

(2016) Sheng Zhang et al.   Thermal Science

Application of Caputo-Fabrizio derivatives to MHD free convection flow of generalized Walters’-B fluid model

(2016) Farhad Ali et al.   European Physical Journal Plus

A note on optimal homotopy asymptotic method for the solutions of fractional order heat- and wave-like partial differential equations

(2015) S. Sarwar et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Certain fractional integral operators and the generalized multi-index Mittag-Leffler functions

(2015) PRAVEEN AGARWAL et al.   PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES

Approximate series solution of multi-dimensional, time fractional-order (heat-like) diffusion equations using FRDTM

(2015) B. K. Singh et al.   Royal Society Open Science

Numerical Inversion of the Abel Integral Equation using Homotopy Perturbation Method

(2015) Sunil Kumar et al.   ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES

Hilfer–Prabhakar derivatives and some applications

(2014) Roberto Garra et al.   APPLIED MATHEMATICS AND COMPUTATION

Couple of the Variational Iteration Method and Legendre Wavelets for Nonlinear Partial Differential Equations

(2013) Fukang Yin et al.   Journal of Applied Mathematics

Approximate analytic solution of fractional heat-like and wave-like equations with variable coefficients using the differential transforms method

(2012) Aydin Secer   Advances in Difference Equations

Delay-DependentH∞Filtering for Singular Time-Delay Systems

(2011) Zhenbo Li et al.   DISCRETE DYNAMICS IN NATURE AND SOCIETY

Mittag-Leffler Functions and Their Applications

(2011) H. J. Haubold et al.   Journal of Applied Mathematics

Variational iteration method for fractional heat- and wave-like equations

(2008) Yulita Molliq R et al.   NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS