Title | ||
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Nonlocal Fractional Boundary Value Problems Involving Mixed Right and Left Fractional Derivatives and Integrals. |
Abstract | ||
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In this paper, we study the existence of solutions for nonlocal single and multi-valued boundary value problems involving right-Caputo and left-Riemann-Liouville fractional derivatives of different orders and right-left Riemann-Liouville fractional integrals. The existence of solutions for the single-valued case relies on Sadovskii's fixed point theorem. The first existence results for the multi-valued case are proved by applying Bohnenblust-Karlin's fixed point theorem, while the second one is based on Martelli's fixed point theorem. We also demonstrate the applications of the obtained results. |
Year | DOI | Venue |
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2020 | 10.3390/axioms9020050 | AXIOMS |
Keywords | DocType | Volume |
fractional differential equations,fractional differential inclusions,existence,fixed point theorems | Journal | 9 |
Issue | Citations | PageRank |
2 | 0 | 0.34 |
References | Authors | |
0 | 4 |
Name | Order | Citations | PageRank |
---|---|---|---|
A. Alsaedi | 1 | 749 | 63.55 |
Abrar Broom | 2 | 0 | 0.68 |
Sotiris K. Ntouyas | 3 | 16 | 7.77 |
Bashir Ahmad | 4 | 0 | 1.01 |