Solvability of infinite system of Hadamard-type fractional boundary value problem in the double sequence space

Document Type : Research Paper

Authors

Department of Mathematics, Cotton University, Panbazar, Guwahati-781001, Assam, India

10.22075/ijnaa.2024.33215.4946

Abstract

In this work,  we are interested in representing the solution of Hadamard type fractional differential equation by introducing the concept of double sequence space 2c(Δ).  After that, we construct the Hausdorff measure of non-compactness on the space 2c(Δ).  Furthermore,  we see the existence of a solution of Hadamard-type fractional differential equation on the space 2c(Δ). After that, we demonstrate an example to see the applicability of our results.

Keywords

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Articles in Press, Corrected Proof
Available Online from 22 November 2024
  • Receive Date: 08 February 2024
  • Revise Date: 08 June 2024
  • Accept Date: 12 June 2024