We consider a fractional‐order nerve impulse model which is known as FitzHugh–Nagumo
(F–N) model in this paper. Knowing the solutions of this model allows the management of …

In this paper, we study the first comparison theorem and the second comparison theorem of
Caputo (and Riemann–Liouville) tempered fractional differential equations with …

In this paper, the existence and uniqueness problem of the initial and boundary value
problems of the linear fractional Caputo-Fabrizio differential equation of order $\sigma\in (1 …

In this manuscript, we have applied the sine-Gordon expansion method and the Bernoulli
sub-equation method to seek the traveling wave solutions of the (2+ 1)-dimensional time …

In this paper, we establish some new conditions for the existence and uniqueness of
solutions for a class of nonlinear $\psi $-Caputo fractional Volterra-Fredholm integro …

The aim of this research is to establish the analytic solution of time fractional diffusion
equations with periodic boundary conditions in one dimension by implementing well-known …

This article studies the kinetics of ψ-fractional differential equations (ψ-FDEs). Above all,
some new fractional inequalities are presented, which are the cornerstone of the later …

In this paper, we discuss the solution of the inhomogeneous conformable abstract Cauchy
problem. The homogeneous problem is also studied. The analysis of conformable fractional …

In this paper, we discuss the solution of the semilinear conformable abstract Cauchy
problem. We study the existence of mild solution using the fractional semigroups. We …

In this paper, we use the generalized Riccati technique and the integral averaging method to
establish new oscillation criteria, for the solutions of a class of mixed fractional order …