System of fractional differential equations with Erdélyi-Kober fractional integral conditions
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AbstractIn this paper we study existence and uniqueness of solutions for a system consisting from fractional differential equations of Riemann-Liouville type subject to nonlocal Erdélyi-Kober fractional integral conditions. The existence and uniqueness of solutions is established by Banach’s contraction principle, while the existence of solutions is derived by using Leray-Schauder’s alternative. Examples illustrating our results are also presented.
2019 ◽
Vol 22
(3)
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pp. 601-618
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2016 ◽
Vol 09
(05)
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pp. 2434-2447
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2019 ◽
Vol 3
(1)
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pp. 46-52
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