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

doi:10.1007/s10473-019-0402-4

数学物理学报(英文版) ›› 2019, Vol. 39 ›› Issue (4): 927-944.doi: 10.1007/s10473-019-0402-4

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

Ahmed ALSAEDI¹, Bashir AHMAD¹, Shorog ALJOUDI¹, Sotiris K. NTOUYAS²

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

收稿日期:2017-05-28 修回日期:2018-10-15 出版日期:2019-08-25 发布日期:2019-09-12
通讯作者: Sotiris K. NTOUYAS E-mail:sntouyas@uoi.gr
作者简介:Ahmed ALSAEDI,E-mail:aalsaedi@hotmail.com;Bashir AHMAD,E-mail:bashirahmad-qau@yahoo.com;Shorog ALJOUDI,E-mail:sh-aljoudi@hotmail.com

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

Ahmed ALSAEDI¹, Bashir AHMAD¹, Shorog ALJOUDI¹, Sotiris K. NTOUYAS²

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:2017-05-28 Revised:2018-10-15 Online:2019-08-25 Published:2019-09-12

摘要/Abstract

摘要： 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.

关键词: Coupled system, sequential fractional derivative, multi-point, integral boundary conditions, existence

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

中图分类号:

34A08

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]. 数学物理学报(英文版), 2019, 39(4): 927-944.

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

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

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