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Baleanu, Dumitru; Nazemi, Sayyedeh Zahra; Rezapour, Shahram

The existence of solution for a \(k\)-dimensional system of multiterm fractional integrodifferential equations with antiperiodic boundary value problems. (English) Zbl 1474.34535

Abstr. Appl. Anal. 2014, Article ID 896871, 13 p. (2014).
Summary: There are many published papers about fractional integrodifferential equations and system of fractional differential equations. The goal of this paper is to show that we can investigate more complicated ones by using an appropriate basic theory. In this way, we prove the existence and uniqueness of solution for a \(k\)-dimensional system of multiterm fractional integrodifferential equations with antiperiodic boundary conditions by applying some standard fixed point results. An illustrative example is also presented.

Cited in 6 Documents

MSC:

34K37 Functional-differential equations with fractional derivatives
34K10 Boundary value problems for functional-differential equations
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