Existence of the Mild Solutions for Impulsive Fractional Equations with Infinite Delay | Zendy

Jaydev Dabas | Zendy; Archana Chauhan | Zendy; Mukesh Kumar | Zendy

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Existence of the Mild Solutions for Impulsive Fractional Equations with Infinite Delay

Author(s) -

Jaydev Dabas,

Archana Chauhan,

Mukesh Kumar

Publication year - 2011

Publication title -

international journal of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.324

H-Index - 20

eISSN - 1687-9651

pISSN - 1687-9643

DOI - 10.1155/2011/793023

Subject(s) - uniqueness , mathematics , fixed point theorem , operator (biology) , mathematical analysis , fixed point , order (exchange) , differential equation , biochemistry , chemistry , finance , repressor , transcription factor , economics , gene

This paper is concerned with the existence and uniqueness of a mild solution of a semilinear fractional-order functional evolution differential equation with the infinite delay and impulsive effects. The existence and uniqueness of a mild solution is established using a solution operator and the classical fixed-point theorems

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