Uniqueness and Ulam stabilities results for partial fractional differential equations with not instantaneous impulses

Saïd Abbas and Mouffak Benchohra

Applied Mathematics and Computation, 2015, vol. 257, issue C, 190-198

Abstract: In this paper, we investigate some uniqueness and Ulam’s type stability concepts of fixed point equations for a class of partial functional differential equations with not instantaneous impulses in Banach spaces. An example is also provided to illustrate our results.

Keywords: Fractional differential equation; Caputo fractional order derivative; Darboux problem; Fixed point equation; Impulse; Ulam–Hyers–Rassias stability (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:257:y:2015:i:c:p:190-198

DOI: 10.1016/j.amc.2014.06.073

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