Nonlinear Functional Analysis and Applications

Kyungnam University, Department of Mathematics Eduaction (경남대학교 수학교육과)
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EXISTENCE AND STABILITY RESULTS OF GENERALIZED FRACTIONAL INTEGRODIFFERENTIAL EQUATIONS

  • Kausika, C. (Department of Mathematics Bharathiar Univerity) ;
  • Balachandran, K. (Department of Mathematics Bharathiar Univerity) ;
  • Annapoorani, N. (Department of Mathematics Bharathiar Univerity) ;
  • Kim, J.K. (Department of Mathematics Education Kyungnam University)
  • Received : 2021.02.19
  • Accepted : 2021.04.09
  • Published : 2021.12.15
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Abstract

This paper gives sufficient conditions to ensure the existence and stability of solutions for generalized nonlinear fractional integrodifferential equations of order α (1 < α < 2). The main theorem asserts the stability results in a weighted Banach space, employing the Krasnoselskii's fixed point technique and the existence of at least one mild solution satisfying the asymptotic stability condition. Two examples are provided to illustrate the theory.

Keywords

Acknowledgement

The work of first author is supported by the Department of Science and Technology, Government of India, Grant No: SR/WOS-A/PM-34/2019(G).

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