• 제목/요약/키워드: Generalized singular Gronwall inequality

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

  • KARTHIKEYAN, K.;CHANDRAN, C.;TRUJILLO, J.J.
    • Journal of applied mathematics & informatics
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    • 제34권3_4호
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    • pp.193-206
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    • 2016
  • 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.