Journal
ACTA MATHEMATICA SCIENTIA
Volume 33, Issue 3, Pages 758-772Publisher
SPRINGER
DOI: 10.1016/S0252-9602(13)60036-3
Keywords
Boundary value problems; fractional order integro-differential equations; boundary value problems; existence and uniqueness; singular gronwall inequality; fixed point theorem
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Funding
- Virginia Military Instittue, USA
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We study boundary value problems for fractional integro-differential equations involving Caputo derivative of order alpha is an element of (n-1, n) in Banach spaces. Existence and uniqueness results of solutions are established by virtue of the Holder's inequality, a suitable singular Cronwall's inequality and fixed point theorem via a priori estimate method. At last, examples are given to illustrate the results.
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