Existence and Hyers-Ulam stability for boundary value problems of multi-term Caputo fractional differential equations

C Chen, L Liu, Q Dong - Filomat, 2023 - doiserbia.nb.rs
The present paper is devoted to discussing a class of nonlinear Caputo-type fractional
differential equations with two-point type boundary value conditions. We investigate the …

Some existence results for a differential equation and an inclusion of fractional order via (convex) F-contraction mapping

V Roomi, H Afshari, S Kalantari - Journal of Inequalities and Applications, 2024 - Springer
The existence of solutions for a class of μ-Caputo fractional differential equations and an
inclusion problem equipped with nonlocal μ-integral boundary conditions are investigated …

Solvability for a system of Hadamard-type hybrid fractional differential inclusions

K Zhang, J Xu - Demonstratio Mathematica, 2023 - degruyter.com
In this article, a new system of Hadamard-type hybrid fractional differential inclusions
equipped with Dirichlet boundary conditions was constructed. By virtue of a fixed-point …

[PDF][PDF] Existence of solutions of some boundary value problems with impulsive conditions and ABC-fractional order

H Afshari, V Roomi, S Kalantari - Filomat, 2023 - doiserbia.nb.rs
This article discusses on topics about the integral boundary value problems with impulsive
conditions. Using a generalized contraction, the existence of solutions of an initial boundary …

Existence and Uniqueness of Positive Solutions for a Hadamard Fractional Integral Boundary Value problem

A Ahmadkhanlu, S Jamshidzadeh - Computational Methods for …, 2024 - cmde.tabrizu.ac.ir
‎ In this paper‎,‎ a kind of boundary value problem including Hadamard type fractional
differential equations with an integral boundary condition is investigated‎.‎ Using the method …

[PDF][PDF] Some fixed point results with application to fractional differential equation via new type of distance spaces

A Bataihah - researchgate.net
This research has explored a novel form of distance known as the T-distance within a b-
metric space (Π, b, s) which depends on the existed b-metric on Π. Several examples …