Title | ||
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Sequential Riemann-Liouville And Hadamard-Caputo Fractional Differential Systems With Nonlocal Coupled Fractional Integral Boundary Conditions |
Abstract | ||
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In this paper, we initiate the study of existence of solutions for a fractional differential system which contains mixed Riemann-Liouville and Hadamard-Caputo fractional derivatives, complemented with nonlocal coupled fractional integral boundary conditions. We derive necessary conditions for the existence and uniqueness of solutions of the considered system, by using standard fixed point theorems, such as Banach contraction mapping principle and Leray-Schauder alternative. Numerical examples illustrating the obtained results are also presented. |
Year | DOI | Venue |
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2021 | 10.3390/axioms10030174 | AXIOMS |
Keywords | DocType | Volume |
coupled systems, Riemann-Liouville fractional derivative, Hadamard-Caputo fractional derivative, nonlocal boundary conditions, existence, fixed point | Journal | 10 |
Issue | Citations | PageRank |
3 | 0 | 0.34 |
References | Authors | |
0 | 4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Chanakarn Kiataramkul | 1 | 0 | 0.34 |
Weera Yukunthorn | 2 | 0 | 0.34 |
Sotiris K. Ntouyas | 3 | 0 | 6.08 |
Jessada Tariboon | 4 | 0 | 1.35 |