In this pages, we discuss the problem of equivalence between fractional differential and
integral problems. Although the said problem was studied for ordinary derivatives, it makes …

This paper is devoted to the existence and the Hyers–Ulam stability of solutions for certain
types of nonlinear differential equations involving the Liouville–Caputo fractional derivative …

This paper deals with the existence of solutions for the Riemann-Liouville fractional order
boundary value problem with infinite-point boundary conditions posed on half-line via the …

In this paper, we look at the existence of weak solutions for fractional Langevin equations
with two fractional orders in Banach spaces. The major results are demonstrated by …

Here, we propose a general framework covering a wide variety of fractional operators. We
consider integral and differential operators and their role in tempered fractional calculus and …

This paper is devoted to study the existence of solution for a class of nonlinear differential
equations with nonlocal boundary conditions involving the right Caputo and left Riemann …

In this article, we investigate a new system of fractional differential equations with integral
boundary conditions. The proposed problem contains Caputo fractional derivative operators …

Fractional calculus and fractional differential equations describe various phenomena in
diverse areas of natural science such as physics, aerodynamics, biology, control theory, and …

The main purpose of this thesis is to study the existence of solutions for some classes of
initial and boundary value problems involving the Caputo fractional derivative in Banach …