This article offers a well-organized and novel algorithm for solving time-fractional Fornberg–
Whitham, Klein–Gordon equation and biological population models occurring from physics …

In this paper, we obtain analytical solutions for the fractional cubic isothermal auto-catalytic
chemical system with Caputo–Fabrizio and Atangana–Baleanu fractional time derivatives in …

The extended Mittag-Leffler function via fractional calculus Page 1 Available online at www.isr-publications.com/jnsa
J. Nonlinear Sci. Appl., 10 (2017), 4244–4253 Research Article Journal Homepage: www.tjnsa.com …

The model of nonlinear heat was generalized using the new trend of derivative with
fractional order. The new definition of derivative with fractional order has no singular kernel …

A Hadamard type fractional integro-differential equation on infinite intervals is considered.
By using monotone iterative technique, we not only get the existence of positive solutions …

The aim of the present paper is to develop a new generalized form of the fractional kinetic
equation involving a generalized k-Mittag-Leffler function E k, ζ, η γ, ρ (⋅) E^γ,ρ_k,ζ,η(⋅) …

We study the existence and uniqueness of solutions for a fractional boundary value problem
involving Hadamard‐type fractional differential equations and nonlocal fractional integral …

This article deals with the design, analysis, and implementation of a robust numerical
scheme when applied to time‐fractional reaction‐diffusion system. Stability analysis and …

In this paper, a compact finite difference scheme with O (τ min {r α, 2}+ h 4) convergence
order for nonlinear Caputo–Hadamard fractional sub-differential equations is proposed …

This article is dealing with the analytical solution of Fornberg–Whitham equations in
fractional view of Caputo operator. The effective method among the analytical techniques …