We study the existence and uniqueness of solution of a nonlinear Cauchy problem involving
the ψ ψ-Hilfer fractional derivative. In addition, we discuss the Ulam–Hyers and Ulam–Hyers …

Using Banach contraction principle and Leray–Schauder nonlinear alternative we establish
sufficient conditions for the existence and uniqueness of solutions for boundary value …

The aim of this article is to seek some adequate conditions via a prior estimate method
(topological degree method) to derive the existence of solution to a nonlinear boundary …

We aim to investigate the following nonlinear boundary value problems of fractional
differential equations:(P λ){− t D 1 α (| 0 D t α (u (t))| p− 2 0 D t α u (t))= f (t, u (t))+ λ g (t)| u (t) …

This review paper focuses on the evolution of the conformable derivative. The review starts
with expressing the idea behind the first research on the so-called conformable fractional …

In this article, we develop a numerical method based on the operational matrices of shifted
Vieta–Lucas polynomials (VLPs) for solving Caputo fractional-order differential equations …

In this paper, we determine the eigenvalue intervals of λ 1, λ 2,..., λ n for which the iterative
system of nonlinear Sturm-Liouville fractional order two-point boundary value problem …

In this paper, we establish the existence of at least three positive solutions for a coupled
system of Riemann-Liouville fractional order two-point boundary value problems, by using …

In the present study, the nonlocal and integral boundary value problems for the system of
nonlinear fractional differential equations involving the Caputo fractional derivative are …

Building an efficient and reliable small target motion detection visual system is challenging
for artificial intelligence robotics because a small target only occupies few pixels and hardly …