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

B. Ahmad; A. Alsaedi; S. K. Ntouyas

doi:10.11948/20190096

2020 Volume 10 Issue 3

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B. Ahmad, A. Alsaedi, S. K. Ntouyas. FRACTIONAL ORDER NONLINEAR MIXED COUPLED SYSTEMS WITH COUPLED INTEGRO-DIFFERENTIAL BOUNDARY CONDITIONS[J]. Journal of Applied Analysis & Computation, 2020, 10(3): 892-903. doi: 10.11948/20190096

Citation:

B. Ahmad, A. Alsaedi, S. K. Ntouyas. FRACTIONAL ORDER NONLINEAR MIXED COUPLED SYSTEMS WITH COUPLED INTEGRO-DIFFERENTIAL BOUNDARY CONDITIONS[J]. Journal of Applied Analysis & Computation, 2020, 10(3): 892-903. doi: 10.11948/20190096

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

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

Corresponding author: Email address:bashirahmad_gau@yahoo.com. (B. Ahmad)

Abstract

Abstract

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.
- Riemann-Liouville fractional derivative /
- Caputo fractional derivative /
- Riemann-Liouville fractional integral /
- coupled equations /
- nonlocal boundary conditions
MSC: 26A33, 34B15

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References

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