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FRACTIONAL ORDER NONLINEAR MIXED COUPLED SYSTEMS WITH COUPLED INTEGRO-DIFFERENTIAL BOUNDARY CONDITIONS
Journal article   Open access  Peer reviewed

FRACTIONAL ORDER NONLINEAR MIXED COUPLED SYSTEMS WITH COUPLED INTEGRO-DIFFERENTIAL BOUNDARY CONDITIONS

B. Ahmad, A. Alsaedi, S. K. Ntouyas and 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
Journal of applied analysis and computation, Vol.10(3), pp.892-903
2020
DOI: https://doi.org/10.11948/20190096

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We study the existence and uniqueness of solutions for a class of coupled fractional differential equations involving both Riemann-Liouville and Caputo fractional derivatives, and coupled integro-differential boundary conditions. We derive the desired results with the aid of modern methods of functional analysis. An example illustrating the abstract results is also presented.
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https://doi.org/10.11948/20190096View
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