Representations and properties of a new family of ω-Caputo fractional derivatives

DOI10.3906/mat-1906-94zbMath1454.26006OpenAlexW3025328520MaRDI QIDQ4970839

Hüseyin Yıldırım, Abdullah Akkurt, Joel Esteban Restrepo

Publication date: 7 October 2020

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1906-94

zbMATH Keywords

representationsfunctional spacesabsolutely continuous functions\( \omega \)-weighted fractional derivatives and integrals

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Absolutely continuous real functions in one variable (26A46) Fractional ordinary differential equations (34A08)

Cites Work

• Unnamed Item
• Unnamed Item
• Caputo-type modification of the Hadamard fractional derivatives
• New approach to a generalized fractional integral
• On Caputo modification of the Hadamard fractional derivatives
• Fractional calculus in the Mellin setting and Hadamard-type fractional integrals
• Weighted hypergeometric functions and fractional derivative
• A boundary property of some subclasses of functions of bounded type in the half-plane
• A Caputo fractional derivative of a function with respect to another function
• Fractional differential equations with mixed boundary conditions
• Unexpected behavior of Caputo fractional derivative
• Weighted integral inequalities in terms of omega-fractional integro-differentiation
• Fractional Optimal Control in the Sense of Caputo and the Fractional Noether's Theorem
• On the generalized fractional derivatives and their Caputo modification
• On Hermite-Hadamard-Fejér type inequalities for convex functions via fractional integrals