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On a nonlinear mixed-order coupled fractional differential system with new integral boundary conditions
Journal article   Open access  Peer reviewed

On a nonlinear mixed-order coupled fractional differential system with new integral boundary conditions

Bashir Ahmad, Soha Hamdan, Ahmed Alsaedi, Sotiris 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
AIMS mathematics, Vol.6(6), pp.5801-5816
01/01/2021
DOI: https://doi.org/10.3934/math.2021343

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We present the criteria for the existence of solutions for a nonlinear mixed-order coupled fractional differential system equipped with a new set of integral boundary conditions on an arbitrary domain. The modern tools of the fixed point theory are employed to obtain the desired results, which are well-illustrated by numerical examples. A variant problem dealing with the case of nonlinearities depending on the cross-variables (unknown functions) is also briefly described.
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https://doi.org/10.3934/math.2021343View
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