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

نویسندگان

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

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

doi
10.22075/ijnaa.2024.33215.4946
چکیده

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