SOLVABILITY OF AN IMPLICIT FRACTIONAL INTEGRAL EQUATION VIA A MEASURE OF NONCOMPACTNESS ARGUMENT  

作　　者：Juan J.NIETO Bessem SAMET 

机构地区：[1]Facultade de Matemáticas,Universidade de Santiago de Compostela,Santiago de Compostela 15782,Spain [2]Faculty of Science,King Abdulaziz University,Jeddah 21589,Saudi Arabia [3]Department of Mathematics,College of Science,King Saud University,P.O.Box 2455,Riyadh 11451,Saudi Arabia

出　　处：《Acta Mathematica Scientia》2017年第1期195-204,共10页数学物理学报（B辑英文版）

基　　金：support by the Ministerio de Economica y Competitividad of Spain under grant MTM2013-43014-P;XUNTA under grants R2014/002 and GRC2015/004;co-financed by the European Community fund FEDER;extends his appreciation to Distinguished Scientist Fellowship Program(DSFP)at King Saud University(Saudi Arabia)

摘　　要：In this paper,we study the existence of solutions to an implicit functional equation involving a fractional integral with respect to a certain function,which generalizes the Riemann-Liouville fractional integral and the Hadaniard fractional integral.We establish an existence result to such kind of equations using a generalized version of Darbo＇s theorem associated to a certain measure of nonconipactness.Some examples are presented.In this paper,we study the existence of solutions to an implicit functional equation involving a fractional integral with respect to a certain function,which generalizes the Riemann-Liouville fractional integral and the Hadaniard fractional integral.We establish an existence result to such kind of equations using a generalized version of Darbo＇s theorem associated to a certain measure of nonconipactness.Some examples are presented.

关 键 词：umplicit fractional integral equation measure of noncompactness Darbo＇stheorem 

分 类 号：O175[理学—数学]