In this research, we present the stability analysis of a fractional differential equation of a
generalized Liouville–Caputo-type (Katugampola) via the Hilfer fractional derivative with a …

In this paper, we obtain sufficient conditions for the existence and uniqueness results of the
pantograph fractional differential equations (FDEs) with nonlocal conditions involving …

Motivated by the Hilfer and the Hilfer–Katugampola fractional derivative, we introduce in this
paper a new Hilfer generalized proportional fractional derivative, which unifies the Riemann …

Individual's perception of the participant in a vaccine program reflects their intrinsic
appreciation of the trade-off between vaccine behavior, risk of infection, and memory effect …

In this article, a semi-analytical technique is implemented to solve Kuramoto–Sivashinsky
equations. The present method is the combination of two well-known methods namely …

This paper presents a class of implicit pantograph fractional differential equation with more
general Riemann-Liouville fractional integral condition. A certain class of generalized …

Purpose This paper aims to investigate the existence and uniqueness of solution for
generalized Sturm–Liouville and Langevin equations formulated using Caputo–Hadamard …

The primary objective of this research study is to analyze a boundary problem involving
Caputo fractional integro-differential equations. The focus is on a differential equation with a …

In this paper, we study and investigate the ψ− Hilfer fractional differential equation with
nonlocal multi‐point condition of the form: D a+ q, p; ψ u (t)= f (t, u (t), D a+ q, p; ψ u (t)), t∈[a …

This note is concerned with establishing existence theory of solutions to a class of implicit
fractional differential equations (FODEs) involving nonsingular derivative. By using usual …