Existence and Uniqueness of Solutions of Volterra Difference Equation of Fractional Order

Authors

  • Haribhau Laxman Tidke Kavayitri Bahinabai Chaudhari North Maharashtra University, Jalgaon, India
  • Balu Lavhare Department of Mathematics, Comrade GSP ASC College, Talasari, Palghar, India

DOI:

https://doi.org/10.26713/cma.v17i1.3372

Keywords:

Difference equation, Fractional order, Initial value problem, Inequality

Abstract

In this paper, we investigate the existence, uniqueness, and qualitative behavior of solutions to certain fractional-order Volterra-type difference equation involving an iterated sum.. The results are established using finite difference inequalities with explicit estimates.

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Author Biographies

  • Haribhau Laxman Tidke, Kavayitri Bahinabai Chaudhari North Maharashtra University, Jalgaon, India

    Haribhau L. Tidke

    Assistant Professor
    Department of Mathematics,
    School of Mathematical Sciences,
    Kavayitri Bahinabai Chaudhari North Maharashtra University,
    Jalgaon, India
    E-mail address: tharibhau@gmail.com

  • Balu Lavhare, Department of Mathematics, Comrade GSP ASC College, Talasari, Palghar, India

    Assistant Professor, Department of Mathematics, Comrade GSP ASC College,
    Talasari, Palghar, India

References

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Published

21-05-2026

Issue

Vol. 17 No. 1 (2026)

Section

Research Article

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How to Cite

Tidke, H. L., & Lavhare, B. (2026). Existence and Uniqueness of Solutions of Volterra Difference Equation of Fractional Order. Communications in Mathematics and Applications, 17(1). https://doi.org/10.26713/cma.v17i1.3372