Results 221 to 230 of about 3,804 (239)

On a New Extension of Caputo Fractional Derivative Operator

, 2017
In this paper, by using a generalization of beta function we introduced a new extension of Caputo fractional derivative operator and obtained some of its properties. With the help of this extended fractional derivative operator, we also defined new extensions of some hypergeometric functions and determined their integral representations, linear and ...
İ.O. Kıymaz, P. Agarwal, S. Jain, A. Çetinkaya   +3 more
openaire   +2 more sources

NEW INTEGRAL INEQUALITIES FOR s-CONVEX FUNCTIONS OF THE SECOND SENSE VIA THE CAPUTO FRACTIONAL DERIVATIVE AND THE CAPUTO–FABRIZIO INTEGRAL OPERATOR

Rocky Mountain Journal of Mathematics, 2023
Various integral inequalities for s-convex functions in the second sense are obtained by means of the Caputo fractional derivative and the Caputo–Fabrizio integral operator.
Serap Kemali, Gültekin Tinaztepe, Sinem Sezer Evcan   +2 more
exaly   +2 more sources

On the new properties of Caputo–Fabrizio operator and its application in deriving shifted Legendre operational matrix

Applied Numerical Mathematics, 2018
In this paper, we study the recently introduced Caputo and Fabrizio operator, which this new operator was derived by replacing the singular kernel in the classical Caputo derivative with the regular kernel.
Abdulnasir Isah, Chang Phang, Yoke Teng Toh   +2 more
exaly   +2 more sources

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Commutator of the Caputo fractional derivative and the shift operator and applications

Communications in Nonlinear Science and Numerical Simulation
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nguyen Thi Thu Huong 0002, Nguyen Nhu Thang, Tran Dinh Ke   +2 more
openaire   +2 more sources

A new approach to Simpson‐type inequality with proportional Caputo‐hybrid operator [PDF]

Mathematical Methods in the Applied Sciences
In this article, we begin by deriving a new identity with the help of twice-differentiable convex functions for the proportional Caputo-hybrid operator.
İzzettin Demir, Tuba Tunc
exaly   +2 more sources

Fractional Newton‐type integral inequalities for the Caputo fractional operator

Mathematical Methods in the Applied Sciences
In this paper, we present a set of Newton‐type inequalities for n‐times differentiable convex functions using the Caputo fractional operator, extending classical results into the fractional calculus domain. Our exploration also includes the derivation of Newton‐type inequalities for various classes of functions by employing the Caputo fractional ...
Yukti Mahajan, Harish Nagar
openaire   +2 more sources

Delsarte equation for Caputo operator of fractional calculus

Fractional Calculus and Applied Analysis, 2022
Emamirad, Hassan, Rougirel, Arnaud
openaire   +1 more source

On numerical approximation of the Riesz–Caputo operator with the fixed/short memory length

Journal of King Saud University - Science, 2021
Tomasz Blaszczyk, Krzysztof Szajek, Wojciech Sumelka   +2 more
exaly  

Application of Caputo–Fabrizio operator to suppress the Aedes Aegypti mosquitoes via Wolbachia: An LMI approach

Mathematics and Computers in Simulation, 2022
R Raja, Jehad Alzabut, Jinde Cao
exaly  

Mathematical Analysis of Biodegradation Model under Nonlocal Operator in Caputo Sense

Mathematics, 2021
Rubayyi T Alqahtani, Shabir Ahmad, Ali AKGÜL   +2 more
exaly