On qualitative analysis of fuzzy random differential equations via the tempered Xi-Hilfer fractional derivative

  • R. Vivek Department of Mathematics, \\Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore-641020, India.
  • Seenith Sivasundaram College of Natural Science,Engineering and Mathematics, Daytona Beach, FL 32114, USA.
  • K. Kanagarajan Department of Mathematics, \\Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore-641020, India.
  • D. Vivek Department of Mathematics,\\ PSG College of Arts $\&$ Science, Coimbatore-641014, India.

Abstract

In this work, we have considered the fuzzy random differential equations involving the tempered $\Xi$-Hilfer fractional derivative. For the proposed problems, we have developed the existence and uniqueness (EU) by using successive approximations under generalized Lipschitz conditions. Proper examples have also been provided with detailed analysis to verify our results.

Published
2023-08-23