Hyers-Ulam-Mittag-Leffler stability of fractional differential equations with two caputo derivative using fractional fourier transform

• Published in: AIMS mathematics Vol. 7; no. 2; pp. 1791 - 1810
• Main Authors: Ganesh, Anumanthappa, Deepa, Swaminathan, Baleanu, Dumitru, Santra, Shyam Sundar, Moaaz, Osama, Govindan, Vediyappan, Ali, Rifaqat
• Format: Journal Article
• Language: English
• Published: AIMS Press 01.01.2022
• Subjects: caputo derivative; fractional differential equation; fractional fourier transform; hyers-ulam-mittag-leffler stability; mittag-leffler function

In this paper, we discuss standard approaches to the Hyers-Ulam Mittag Leffler problem of fractional derivatives and nonlinear fractional integrals (simply called nonlinear fractional differential equation), namely two Caputo fractional derivatives using a fractional Fourier transform. We prove the...