Existence of Solutions to Sobolev Type Nonlocal Nonlinear Functional Integrodifferential Equations Involving Caputo Derivative

  • Madhukant SharmaEmail author
  • Shruti Dubey
Original Research


In this article, we consider a nonlinear Sobolev type fractional functional integrodifferential equations in a Banach space along with a nonlocal condition. Sufficient conditions for existence, uniqueness and dependence on initial data of local solutions of considered problem are derived by employing fixed point techniques and theory of classical semigroup. Further, we also render the criteria for existence of global solution. At the end, we provide an application to elaborate the obtained results.


Integrodifferential systems Sobolev-type equations Fractional derivatives 

Mathematics Subject Classification

26A33 34A08 34A12 34G20 34K37 35A01 35A02 35A09 35R09 35R11 



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Copyright information

© Foundation for Scientific Research and Technological Innovation 2019

Authors and Affiliations

  1. 1.Deparment of Humanities and SciencesIndian Institute of Information Technology DharwadHubali-DharwadIndia
  2. 2.Department of MathematicsIndian Institute of Technology MadrasChennaiIndia

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