A STUDY OF A FULLY COUPLED TWO-PARAMETER SYSTEM OF SEQUENTIAL FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH NONLOCAL INTEGRO-MULTIPOINT BOUNDARY CONDITIONS

Ahmed ALSAEDI; Bashir AHMAD; Shorog ALJOUDI; Sotiris K. NTOUYAS

doi:10.1007/s10473-019-0402-4

2019 , Vol. 39 >Issue 4: 927 - 944

DOI: https://doi.org/10.1007/s10473-019-0402-4

Articles

A STUDY OF A FULLY COUPLED TWO-PARAMETER SYSTEM OF SEQUENTIAL FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH NONLOCAL INTEGRO-MULTIPOINT BOUNDARY CONDITIONS

Ahmed ALSAEDI ,
Bashir AHMAD ,
Shorog ALJOUDI ,
Sotiris K. NTOUYAS

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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 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

Received date: 2017-05-28

Revised date: 2018-10-15

Online published: 2019-09-12

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Abstract

In this article, we discuss the existence and uniqueness of solutions for a coupled two-parameter system of sequential fractional integro-differential equations supplemented with nonlocal integro-multipoint boundary conditions. The standard tools of the fixed-point theory are employed to obtain the main results. We emphasize that our results are not only new in the given configuration, but also correspond to several new special cases for specific values of the parameters involved in the problem at hand.

Key words： Coupled system; sequential fractional derivative; multi-point; integral boundary conditions; existence

Cite this article

Ahmed ALSAEDI , Bashir AHMAD , Shorog ALJOUDI , Sotiris K. NTOUYAS . A STUDY OF A FULLY COUPLED TWO-PARAMETER SYSTEM OF SEQUENTIAL FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH NONLOCAL INTEGRO-MULTIPOINT BOUNDARY CONDITIONS[J]. Acta mathematica scientia, Series B, 2019 , 39(4) : 927 -944 . DOI: 10.1007/s10473-019-0402-4

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