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

Authors

  • B. U. Lavhare Department of Mathematics, Comrade Godavari Shamrao Parulekar College of Arts, Talasari, Palghar, Maharashtra, India
  • H. L. Tidke Department of Mathematics, Kavayitri Bahinabai Chaudhari North Maharashtra University, Jalgaon, Maharashtra, 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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References

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Published

30-03-2026

Issue

Section

Research Article

How to Cite

Lavhare, B. U., & Tidke, H. L. (2026). Existence and Uniqueness of Solutions of Volterra Difference Equation of Fractional Order. Communications in Mathematics and Applications, 17(1), 191-205. https://doi.org/10.26713/cma.v17i1.3372