Applications of measures of noncompactness to infinite system of fractional differential equations | Zendy

M. ‎Mursaleen | Zendy; B. T. Bilalov | Zendy; Syed Rizvi | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Applications of measures of noncompactness to infinite system of fractional differential equations

Author(s) -

M. ‎Mursaleen,

B. T. Bilalov,

Syed 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.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research