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

	Solvability of infinite system of Hadamard-type fractional boundary value problem in the double sequence space
International Journal of Nonlinear Analysis and Applications
مقاله 15، دوره 16، شماره 9، آذر 2025، صفحه 169-178 اصل مقاله (486.15 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2024.33215.4946
نویسندگان
Simasri Deka^* ؛ Anupam Das
Department of Mathematics, Cotton University, Panbazar, Guwahati-781001, Assam, India
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.
کلیدواژه‌ها
Measure of noncompactness؛ Fixed point theorem؛ Hadamard type fractional differential equation؛ Double sequence space
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