Existence of mild solutions for impulsive fractional functional integro-differential equations. (English) Zbl 1415.34122

Gautam, Ganga Ram; Dabas, Jaydev

Fract. Differ. Calc. 5, No. 1, 65-77 (2015).

Summary: In this investigation, our aim is to develop the definition of mild solutions for impulsive fractional differential equations of order \(\alpha\in (1,2)\) and obtain some sufficient conditions for existence of mild solutions using the analytic operator functions and fixed point theorems. We also verify the existence result with an example involving partial derivative.

MSC:

34K37	Functional-differential equations with fractional derivatives
34K45	Functional-differential equations with impulses
34A37	Ordinary differential equations with impulses
45J05	Integro-ordinary differential equations

Keywords:

fractional-order differential equation; functional-differential equations; impulsive conditions; fixed point theorem

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