Existence results for class of fractional order boundary value problems with integrable impulses. (English) Zbl 1397.34135

Gupta, Vidushi; Dabas, Jaydev

Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 25, No. 4, 267-285 (2018).

Summary: In this article, we study existence and uniqueness results for fractional functional boundary value problems with integrable impulses. The Boyd and Wang, Schaefer’s and Burton and Kirk fixed point theorems on a complex Banach space are applied to obtain the main out comes. Also, we present examples to illustrate the claimed results.

MSC:

34K37	Functional-differential equations with fractional derivatives
34K45	Functional-differential equations with impulses
34K10	Boundary value problems for functional-differential equations
47N20	Applications of operator theory to differential and integral equations

Keywords:

fractional order differential equation; periodic boundary value problems; contractions; impulsive conditions; existence; uniqueness

References:

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