Results 1 to 10 of about 715,675 (203)

Abelian Groups of Fractional Operators

Computer Sciences & Mathematics Forum, 2022
Taking into count the large number of fractional operators that have been generated over the years, and considering that their number is unlikely to stop increasing at the time of writing this paper due to the recent boom of fractional calculus ...
Anthony Torres-Hernandez, Fernando Brambila-Paz, Rafael Ramirez-Melendez   +2 more
doaj   +3 more sources

New Inequalities Using Multiple Erdélyi–Kober Fractional Integral Operators [PDF]

Fractal and Fractional
The role of fractional integral inequalities is vital in fractional calculus to develop new models and techniques in the most trending sciences. Taking motivation from this fact, we use multiple Erdélyi–Kober (M-E-K) fractional integral operators to ...
Asifa Tassaddiq, Rekha Srivastava, Rabab Alharbi, Ruhaila Md Kasmani, Sania Qureshi   +4 more
doaj   +4 more sources

Entropy Interpretation of Hadamard Type Fractional Operators: Fractional Cumulative Entropy [PDF]

Entropy, 2022
Interpretations of Hadamard-type fractional integral and differential operators are proposed. The Hadamard-type fractional integrals of function with respect to another function are interpreted as an generalization of standard entropy, fractional ...
Vasily E. Tarasov
doaj   +2 more sources

Applications of Distributed-Order Fractional Operators: A Review [PDF]

Entropy, 2021
Sansit Patnaik, Fabio Semperlotti, Sai Sidhardh   +2 more
exaly   +2 more sources

Applications of variable-order fractional operators: a review [PDF]

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2020
John Hollkamp, Sansit Patnaik, Fabio Semperlotti   +2 more
exaly   +2 more sources

On Novel Fractional Operators Involving the Multivariate Mittag–Leffler Function

Mathematics, 2022
The multivariate Mittag–Leffler function is introduced and used to establish fractional calculus operators. It is shown that the fractional derivative and integral operators are bounded.
Muhammad Samraiz, Ahsan Mehmood, Saima Naheed, Gauhar Rahman, Artion Kashuri, Kamsing Nonlaopon   +5 more
doaj   +1 more source

Some New Generalized Fractional Newton’s Type Inequalities for Convex Functions

Journal of Function Spaces, 2022
In this paper, we establish some new Newton’s type inequalities for differentiable convex functions using the generalized Riemann-Liouville fractional integrals. The main edge of the newly established inequalities is that these can be turned into several
Jarunee Soontharanon, Muhammad Aamir Ali, Hüseyin Budak, Pinar Kösem, Kamsing Nonlaopon, Thanin Sitthiwirattham   +5 more
doaj   +1 more source

New Fractional Integral Inequalities via k-Atangana–Baleanu Fractional Integral Operators

Fractal and Fractional, 2023
We propose the definitions of some fractional integral operators called k-Atangana–Baleanu fractional integral operators. These newly proposed operators are generalizations of the well-known Atangana–Baleanu fractional integral operators.
Seth Kermausuor, Eze R. Nwaeze
doaj   +1 more source

Novel improved fractional operators and their scientific applications

Advances in Difference Equations, 2021
The motivation of this research is to introduce some new fractional operators called “the improved fractional (IF) operators”. The originality of these fractional operators comes from the fact that they repeat the method on general forms of conformable ...
Abd-Allah Hyder, M. A. Barakat
doaj   +1 more source

Scale-Invariant General Fractional Calculus: Mellin Convolution Operators

Fractal and Fractional, 2023
General fractional calculus (GFC) of operators that is defined through the Mellin convolution instead of Laplace convolution is proposed. This calculus of Mellin convolution operators can be considered as an analogue of the Luchko GFC for the Laplace ...
Vasily E. Tarasov
doaj   +1 more source