A Generalized Uncertain Fractional Forward Difference Equations of Riemann-Liouville Type

Pshtiwan Othman Mohammed

Journal of Mathematics Research, 2019, vol. 11, issue 4, 43-50

Abstract: In this paper, we firstly recall the definition of an uncertain fractional forward difference equation with Riemann-Liouvillelike forward difference. After that analytic solutions to a generalized uncertain fractional difference equations are solved by using the Picard successive iteration method. Moreover, the existence and uniqueness theorem of the solutions are proved by applying Banach contraction mapping theorem. Finally, two examples are presented to illustrate the validity of the existence and uniqueness theorem.

Keywords: Riemann-Liouville fractional integral; discrete fractional calculus; uncertainty theory; fractional forward difference equations (search for similar items in EconPapers)
Date: 2019
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