We introduce a more general class of fractional-order boundary value problems involving
the Caputo-Hadamard fractional derivative. Existence results for the given problem are …

This paper deals with the generalized Bagley–Torvik equation based on the concept of the
Caputo–Fabrizio fractional derivative using a modified reproducing kernel Hilbert space …

In this work, we analyze the fractional order by using the Caputo-Hadamard fractional
derivative under the Robin boundary condition. The topological degree method combined …

In this paper, we use the Banach fixed point theorem to obtain the existence, interval of
existence and uniqueness of solutions for nonlinear hybrid implicit Caputo-Hadamard …

The authors investigate the existence of solutions to a class of boundary value problems for
fractional q-difference equations in a Banach space that involves aq-derivative of the Caputo …

In this article, we investigate a novel class of mixed integral fractional delay dynamic
systems with impulsive effects on time scales. Also, fixed-point techniques are applied to …

In this study, we study an inverse source problem of the bi-parabolic equation. The problem
is severely non-well-posed in the sense of Hadamard, the problem is called well-posed if it …

This article presents a study of the existence and uniqueness of solutions for a system of
hybrid fractional differential equations involving fractional derivatives of the Caputo …

In this article, we establish a new class of mixed integral fractional delay dynamic systems
with impulsive effects on time scales. We investigate the qualitative properties of the …

The given article describes the implicit fractional dierential equation with anti-periodic
boundary conditionsin the frame of Caputo-Katugampola fractional derivative. We obtain an …