Name
Title | ||
|---|---|---|
On (k, psi)-Hilfer Fractional Differential Equations and Inclusions with Mixed (k, psi)-Derivative and Integral Boundary Conditions |
Abstract | ||
|---|---|---|
In this paper we study single-valued and multi-valued (k, psi)-Hilfer-type boundary value problems of fractional order in (1,2], subject to nonlocal boundary conditions involving (k, psi)-Hilfer-type derivative and integral operators. The results for single-valued case are established by using Banach and Krasnosel'skii fixed point theorems as well as Leray-Schauder nonlinear alternative. In the multi-valued case, we establish an existence result for the convex valued right-hand side of the inclusion via Leray-Schauder nonlinear alternative for multi-valued maps, while the second one when the right-hand side has non-convex values is obtained by applying Covitz-Nadler fixed point theorem for multi-valued contractions. Numerical examples illustrating the obtained theoretical results are also presented. |
Year | DOI | Venue |
|---|---|---|
2022 | 10.3390/axioms11080403 | AXIOMS |
Keywords | DocType | Volume |
(k, psi)-Hilfer fractional derivative, Riemann-Liouville fractional derivative, Caputo fractional derivative, existence, uniqueness, fixed point theorems | Journal | 11 |
Issue | Citations | PageRank |
8 | 0 | 0.34 |
References | Authors | |
0 | 4 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Sotiris K. Ntouyas | 1 | 0 | 6.08 |
| Bashir Ahmad | 2 | 356 | 55.67 |
| Cholticha Nuchpong | 3 | 0 | 0.34 |
| Jessada Tariboon | 4 | 0 | 1.35 |