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

作　　者：Ahmed ALSAEDI Bashir AHMAD Shorog ALJOUDI Sotiris K. NTOUYAS 

机构地区：[1]Nonlinear Analysis and Applied Mathematics (NA AM)-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 (NA AM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University,P. O. Box 80203, Jeddah 21589, Saudi Arabia

出　　处：《Acta Mathematica Scientia》2019年第4期927-944,共18页数学物理学报（B辑英文版）

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.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 

分 类 号：O[理学]