On four-point fractional q-integrodifference boundary value problems involving separate nonlinearity and arbitrary fractional order
Date
2018
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Article
Publisher
Springer International Publishing
Journal Title
On four-point fractional q-integrodifference boundary value problems involving separate nonlinearity and arbitrary fractional order
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Abstract
In this paper, we study a sequential Caputo fractional q-integrodifference equation with fractional q-integral and Riemann�Liouville fractional q-derivative boundary value conditions. Our problem contains 2 (M+ N+ 1) different orders and six different numbers of q in derivatives and integrals. The problem contains separate nonlinear functions. To examine existence and uniqueness results of the problem, Banach�s contraction principle and the Leray�Schauder nonlinear alternative are employed. An illustrative example is also provided. � 2018, The Author(s).
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Boundary Value Problems