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

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  • Pshtiwan Othman Mohammed

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.

Suggested Citation

  • Pshtiwan Othman Mohammed, 2019. "A Generalized Uncertain Fractional Forward Difference Equations of Riemann-Liouville Type," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 11(4), pages 43-50, August.
    • Handle: RePEc:ibn:jmrjnl:v:11:y:2019:i:4:p:43
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    References listed on IDEAS

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    1. Lu, Ziqiang & Zhu, Yuanguo, 2019. "Numerical approach for solution to an uncertain fractional differential equation," Applied Mathematics and Computation, Elsevier, vol. 343(C), pages 137-148.
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    Cited by:

    1. Pshtiwan Othman Mohammed & Thabet Abdeljawad & Faraidun Kadir Hamasalh, 2021. "On Riemann—Liouville and Caputo Fractional Forward Difference Monotonicity Analysis," Mathematics, MDPI, vol. 9(11), pages 1-17, June.
    2. Mohammed, Pshtiwan Othman & Abdeljawad, Thabet & Hamasalh, Faraidun Kadir, 2021. "Discrete Prabhakar fractional difference and sum operators," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).

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    More about this item

    Keywords

    Riemann-Liouville fractional integral; discrete fractional calculus; uncertainty theory; fractional forward difference equations;
    All these keywords.

    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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