Sign in
Back
On some inequalities involving the function and its fractional derivative
Journal article   Peer reviewed

On some inequalities involving the function and its fractional derivative

Ibtisam Aldawish, Mohamed Jleli and Bessem Samet
Mathematical methods in the applied sciences, Vol.45(9), pp.5633-5643
06/2022
DOI: https://doi.org/10.1002/mma.8128

Abstract

Erdélyi–Kober fractional derivative fractional Hilbert–Pachpatte‐type inequality fractional Poincaré‐type inequality fractional Sobolev‐type inequality
This note is concerned with some inequalities involving the function and its Caputo‐type Erdélyi–Kober fractional derivative. Namely, we establish integral inequalities of Poincaré, Sobolev, and Hilbert–Pachpatte types, with respect to the right‐hand sided Caputo‐type modification of the Erdélyi–Kober fractional derivative. The obtained inequalities are useful in analyzing fractional differential equations, in particular, in obtaining various estimate for the solutions.

Metrics

1 Record Views

Details