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

R. Vivek; K. Kanagarajan; Seenith Sivasundaram; D. Vivek

R. Vivek Department of Mathematics, \\Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore-641020, India.
K. Kanagarajan Department of Mathematics, \\Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore-641020, India
Seenith Sivasundaram College of Science, \\Engineering and Mathematics, Daytona Beach, FL 32114, USA.
D. Vivek 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.