EXISTENCE AND UNIQUENESS OF MILD SOLUTIONS OF FORIMPULSIVE FRACTIONAL SUM-DIFFERENCE EQUATION IN BANACH SPACE

Authors

  • Yogesh H.Shirole Shri Sant Gadge Maharaj Mahavidyalaya Author
  • Suryakant M. Jogdand Shri Shivaji College of Art Author

Keywords:

Linear difference equation, Fractional difference equations,Fixed-point theorems

Abstract

Abstract

This study addresses the existence and uniqueness of mild solutions for impulsive fractional sum-difference equations in Banach spaces. By applying fixed point principles, sufficient conditions are derived to ensure well-posedness of the problem. The inclusion of impulsive effects allows the model to describe systems subject to abrupt changes, while the fractional framework captures memory-dependent dynamics. As an application, the theoretical results are demonstrated through a discrete frac tional model in population dynamics, highlighting the effectiveness of the approach for real-world problems in science and engineering.

 AMS Subject Classification: 39A06,39A12,47H10. 

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Published

2026-01-24

Issue

Vol. 44 No. 1 (2026)

Section

Articles