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A study of mixed Hadamard and Riemann–Liouville fractional integro-differential inclusions via endpoint theory
Institution:1. Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia;2. Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece;3. Nonlinear Dynamic Analysis Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, Thailand
Abstract:This paper studies the existence of solutions for a mixed initial value problem of Hadamard and Riemann–Liouville fractional integro-differential inclusions by means of endpoint theory. The main result is well illustrated with the aid of example.
Keywords:Hadamard derivative  Riemann–Liouville fractional integral  Inclusions  Endpoint theory
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