Open AccessApplications of measures of noncompactness to infinite system of fractional differential equations
Author(s) -
M. Mursaleen,
B. T. Bilalov,
Syed M. H. Rizvi
Publication year - 2017
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/fil1711421m
Subject(s) - mathematics , hausdorff measure , fixed point theorem , banach space , mathematical analysis , interval (graph theory) , order (exchange) , boundary value problem , picard–lindelöf theorem , sequence (biology) , type (biology) , measure (data warehouse) , pure mathematics , differential equation , combinatorics , hausdorff dimension , ecology , finance , database , biology , computer science , economics , genetics
In this paper, we discuss few existence result for solution of an infinite system of fractional differential equations of order ?(1 < ? < 2), with three point boundary value problem in the interval [0, T]. The problem is studied in the classical Banach sequence spaces c0 and lp (1 ? p < 1), using Hausdorff measure of noncompactness and Darbo type fixed point theorem. We also illustrate our results through some concrete examples.