Boundary value problem of fuzzy fractional differential equations with tempered Xi-Hilfer fractional derivatives on time scales

Authors

  • Department of Mathematics, \\Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore-641020, India.
  • Department of Mathematics, \\Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore-641020, India
  • College of Science, \\Engineering and Mathematics, Daytona Beach, FL 32114, USA.
  • Department of Mathematics,\\ PSG College of Arts $\&$ Science, Coimbatore-641014, India.

Abstract

In this manuscript, we study the existence and uniqueness of solutions for a boundary value problem for fuzzy fractional differential equations involving tempered $\Xi$-Hilfer fractional derivatives on time scales. The results are obtained by using the Banach contraction principle and Schaefer's fixed point theorem. In addition, we discuss the Ulam stability of its solutions. At the end, an example is given to illustrate the effectiveness of our results.

Downloads

Published

2024-02-22

Issue

Vol. 31 No. 1 (2024): Nonlinear Studies (NS)

Section

Articles

How to Cite

Boundary value problem of fuzzy fractional differential equations with tempered Xi-Hilfer fractional derivatives on time scales. (2024). Nonlinear Studies, 31(1). https://nonlinearstudies.com/index.php/nonlinear/article/view/3517