In this paper, we investigate the existence of positive solutions for the new class of boundary
value problems via ψ-Hilfer fractional differential equations. For our purpose, we use the α …

Many possible definitions have been proposed for fractional derivatives and integrals,
starting from the classical Riemann–Liouville formula and its generalisations and modifying …

Foundations | Free Full-Text | A Survey on Existence Results for Boundary Value Problems of
Hilfer Fractional Differential Equations and Inclusions Next Article in Journal Analogues of the …

This paper is concerned with a boundary value problem for a nonlinear fractional differential
equation involving a general form of Caputo fractional derivative operator with respect to …

In this article, we discuss the existence and uniqueness of solutions to some nonlinear
fractional differential equations involving the ψ--Caputo fractional derivative with multi-point …

We investigate the Hilfer-type operator within the topic of tempered fractional calculus with
respect to functions. This operator, the tempered Ψ-Hilfer derivative, is defined for the first …

Fractional derivative is a widely accepted theory to describe physical phenomena and
processes with memory effect that is defined in the form of convolution with power kernel …

This paper proposes a numerical method for solving fractional relaxation‐oscillation
equations. A relaxation oscillator is a type of oscillator that is based on how a physical …

The main contribution of this paper is to prove the existence of extremal solutions for a novel
class of ψ-Caputo fractional differential equation with nonlinear boundary conditions. For …

We investigate the existence and uniqueness of solutions to a coupled system of the hybrid
fractional integro-differential equations involving φ-Caputo fractional operators. To achieve …