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Existence of Mild Solutions for Impulsive Fractional Functional Differential Equations of Order α ∈ (1, 2)

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Differential and Difference Equations with Applications (ICDDEA 2015)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 164))

Abstract

This paper investigates the existence result for fractional order functional differential equations subject to non-instantaneous impulsive condition by applying the classical fixed point technique. At last, an example involving partial derivatives is presented to verify the uniqueness result.

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Correspondence to Ganga Ram Gautam .

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Gautam, G.R., Dabas, J. (2016). Existence of Mild Solutions for Impulsive Fractional Functional Differential Equations of Order α ∈ (1, 2). In: Pinelas, S., Došlá, Z., Došlý, O., Kloeden, P. (eds) Differential and Difference Equations with Applications. ICDDEA 2015. Springer Proceedings in Mathematics & Statistics, vol 164. Springer, Cham. https://doi.org/10.1007/978-3-319-32857-7_14

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