Global Integrable Solution for a Nonlinear Functional Integral Inclusion | Zendy

A. M. A. ElSayed | Zendy; Sh. M. Al-Issa | Zendy

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Global Integrable Solution for a Nonlinear Functional Integral Inclusion

Author(s) -

A. M. A. ElSayed,

Sh. M. Al-Issa

Publication year - 2009

Publication title -

srx mathematics

Language(s) - English

Resource type - Journals

ISSN - 2090-1127

DOI - 10.3814/2010/891982

Subject(s) - integrable system , inclusion (mineral) , mathematics , order (exchange) , nonlinear system , pure mathematics , set (abstract data type) , function (biology) , mathematical analysis , mathematical physics , physics , computer science , quantum mechanics , thermodynamics , finance , evolutionary biology , biology , economics , programming language

We study the global existence of positive integrable solution for the functional integral inclusion of fractional order x ( t ) ∈ p ( t ) + F 1 ( t , I α f 2 ( t , x ( φ ( t ) ) ) , t ∈ ( 0 , 1 ) , α ≥ 0 , where F 1 ( t , x ( t ) ) is a set-valued function defined on ( 0 , 1 ) × R + .

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