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Study of multi term delay fractional order impulsive differential equation using fixed point approach

  • Received: 08 November 2021 Revised: 21 March 2022 Accepted: 28 March 2022 Published: 14 April 2022
  • MSC : 26A33, 34A08

  • This manuscript is devoted to investigate a class of multi terms delay fractional order impulsive differential equations. Our investigation includes existence theory along with Ulam type stability. By using classical fixed point theorems, we establish sufficient conditions for existence and uniqueness of solution to the proposed problem. We develop some appropriate conditions for different kinds of Ulam-Hyers stability results by using tools of nonlinear functional analysis. We demonstrate our results by an example.

    Citation: Amjad Ali, Kamal Shah, Dildar Ahmad, Ghaus Ur Rahman, Nabil Mlaiki, Thabet Abdeljawad. Study of multi term delay fractional order impulsive differential equation using fixed point approach[J]. AIMS Mathematics, 2022, 7(7): 11551-11580. doi: 10.3934/math.2022644

    Related Papers:

  • This manuscript is devoted to investigate a class of multi terms delay fractional order impulsive differential equations. Our investigation includes existence theory along with Ulam type stability. By using classical fixed point theorems, we establish sufficient conditions for existence and uniqueness of solution to the proposed problem. We develop some appropriate conditions for different kinds of Ulam-Hyers stability results by using tools of nonlinear functional analysis. We demonstrate our results by an example.



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