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http://dx.doi.org/10.14317/jami.2016.193

BOUNDARY VALUE PROBLEMS FOR FRACTIONAL INTEGRODIFFERENTIAL EQUATIONS INVOLVING GRONWALL INEQUALITY IN BANACH SPACE  

KARTHIKEYAN, K. (Department of Mathematics, K.S. Rangasamy College of Technology)
CHANDRAN, C. (Department of Mathematics, K.S. Rangasamy College of Technology)
TRUJILLO, J.J. (Departamento de Analisis Matematico, Universidad de La Laguna)
Publication Information
Journal of applied mathematics & informatics / v.34, no.3_4, 2016 , pp. 193-206 More about this Journal
Abstract
In this paper, we study boundary value problems for fractional integrodifferential equations involving Caputo derivative in Banach spaces. A generalized singular type Gronwall inequality is given to obtain an important priori bounds. Some sufficient conditions for the existence solutions are established by virtue of fractional calculus and fixed point method under some mild conditions.
Keywords
Boundary value problems; Fractional integrodifferential equations; Generalized singular Gronwall inequality; Existence;
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