Journal
BOUNDARY VALUE PROBLEMS
Volume -, Issue -, Pages -Publisher
SPRINGER
DOI: 10.1186/s13661-016-0741-1
Keywords
fractional integro-differential equation; integral conditions; uniqueness; existence
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Funding
- National Natural Science Foundation of China [11626125, 11371221, 11571296]
- Natural Science Foundation of Shandong Province of China [ZR2016AP04]
- Project of Shandong Province Higher Educational Science and Technology Program [J16LI03, J14LI08]
- Science Research Foundation for Doctoral Authorities of Linyi University [LYDX2016BS080]
- Applied Mathematics Enhancement Program of Linyi University
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In this paper, we study the uniqueness and existence of positive solutions for the fractional integro-differential equation with the integral boundary value problem. By means of the Banach contraction principle and the Krasnoselskii fixed point theorem, the sufficient conditions on the uniqueness and existence of positive solutions are investigated. An example is given to illustrate the main results.
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