Initial boundary value problems for conformable implicit fractional differential equations in Banach spaces

  • S. Vedikaa School of Arts, Science and Humanities, SASTRA Deemed to be University, Thanjavur-613401, Tamil Nadu, India.
  • D. Sarala School of Arts, Science and Humanities, SASTRA Deemed to be University, Thanjavur-613401, Tamil Nadu, India
  • S. Balachandran School of Arts, Science and Humanities, SASTRA Deemed to be University, Thanjavur-613401, Tamil Nadu, India
  • B. Sneha School of Arts, Science and Humanities, SASTRA Deemed to be University, Thanjavur-613401, Tamil Nadu, India.
  • S.L. Pooja School of Arts, Science and Humanities, SASTRA Deemed to be University, Thanjavur-613401, Tamil Nadu, India.

Abstract

This study examines the existence and uniqueness results for nonlinear neutral conformable implicit fractional differential [$\d$] equations with initial and boundary conditions. The fixed point theory and $\d$ are used to support our conclusions. Two exemplary examples are given in the concluding section.

Published
2023-05-26