Anti-periodic BVP for Volterra integro-differential equation of fractional order $1\alpha \leq 2$, involving Mittag-Leffler function in the kernel

Aktuğlu, Hüseyin¹ ; Özarslan, Mehmet Ali¹

¹ Eastern Mediterranean University, Gazimagusa, TRNC, Mersin 10, Turkey

Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 2, p. 452-460.

Résumé

In this paper, we consider an anti-periodic Boundary Value Problem for Volterra integro-differential equation of fractional order $1\alpha \leq 2$; with generalized Mittag-Leffler function in the kernel. Some existence and uniqueness results are obtained by using some well known fixed point theorems. We give some examples to exhibit our results.

Détail

DOI : 10.22436/jnsa.009.02.11

Classification : 34A08, 34B15
Keywords: Fractional derivative, fractional integral, Caputo fractional derivative, boundary value problem, Caputo fractional boundary value problem, integral operators, Mittag-Leffler functions.

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