Impulsive fractional q-integro-difference equations with separated boundary conditions
Bashir Ahmad,
Sotiris K. Ntouyas,
Jessada Tariboon,
Ahmed Alsaedi and
Hamed H. Alsulami
Applied Mathematics and Computation, 2016, vol. 281, issue C, 199-213
Abstract:
In this paper, we discuss the existence of solutions for impulsive fractional q-integro-difference equations with separated boundary conditions. Existence results are proved via fixed point theorems due to Krasnoselskii and O’Regan, while the uniqueness of solutions is accomplished by means of Banach’s contraction mapping principle. Examples illustrating the obtained results are also presented.
Keywords: Quantum calculus; Impulsive fractional q-difference equations; Existence; Uniqueness; Fixed point theorem (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (3)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:281:y:2016:i:c:p:199-213
DOI: 10.1016/j.amc.2016.01.051
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