Open AccessSolvability of infinite systems of fractional differential equations in the spaces of tempered sequences
Author(s) -
Anupam Das,
Bipan Hazarika,
Praveen Agarwal,
Hemant Kumar Nashine
Publication year - 2019
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1917519d
Subject(s) - mathematics , hausdorff measure , hausdorff space , fixed point theorem , sequence (biology) , pure mathematics , differential equation , mathematical analysis , measure (data warehouse) , hausdorff dimension , genetics , database , computer science , biology
In this paper we discuss the existence of solution of infinite systems of fractional differential equations with the help of Hausdorff measure of noncompactness and Meir-Keeler fixed point theorem in the tempered sequence spaces. We provide examples to established the applicability of our results.