Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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ANALYSIS OF SOLUTIONS FOR THE BOUNDARY VALUE PROBLEMS OF NONLINEAR FRACTIONAL INTEGRODIFFERENTIAL EQUATIONS INVOLVING GRONWALL'S INEQUALITY IN BANACH SPACES

  • KARTHIKEYAN, K. (Department of Mathematics & Centre for Research and Development, KPR Institute of Engineering and Technology) ;
  • RAJA, D. SENTHIL (Department of Mathematics, K.S.Rangasamy College of Technology) ;
  • SUNDARARAJAN, P. (Department of Mathematics, Arignar Anna Government Arts College)
  • Received : 2020.12.23
  • Accepted : 2021.02.23
  • Published : 2022.01.30
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Abstract

We study the existence and uniqueness of solutions for a class of boundary value problems of nonlinear fractional order differential equations involving the Caputo fractional derivative by employing the Banach's contraction principle and the Schauder's fixed point theorem. In addition, an example is given to demonstrate the application of our main results.

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Acknowledgement

The authors are greateful to anonymous referees for their constructive comments and suggestions, which have greatly improved this paper.

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