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Existence Results on Mittag-Leffler Kernel of Fractional Integro-Differential Inclusion Problem Under Boundary Conditions |
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PP: 149-160 |
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doi:10.18576/pfda/100114
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Author(s) |
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Kottakkaran Sooppy Nisar,
Veliappan Vijayaraj,
Shyni Unni Kumaran,
Chokkalingam Ravichandran,
Poh Soon JosephNg,
M. Abdel-Aty,
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Abstract |
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| The main objective of this manuscript is to establish the sufficient conditions for the existence of solutions to the proposed inclusion problem under certain boundary conditions by applying fixed point results. Two cases of multivalued maps are explored with convex and non convex values. The results in the case of convex set-valued map are established using the Leray-Schauder theorem while the results in the case of non convex set-valued map are established through Nadler and Covitz set-valued theorem. The manuscript is concluded with apt examples to demonstrate the theoretical findings.
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