Results 71 to 80 of about 25,337 (192)

Some k-fractional extension of Grüss-type inequalities via generalized Hilfer–Katugampola derivative

Advances in Difference Equations, 2021
In this paper, we prove several inequalities of the Grüss type involving generalized k-fractional Hilfer–Katugampola derivative. In 1935, Grüss demonstrated a fascinating integral inequality, which gives approximation for the product of two functions ...
Samaira Naz, Muhammad Nawaz Naeem, Yu-Ming Chu   +2 more
doaj   +1 more source

Mellin Transforms of the Generalized Fractional Integrals and Derivatives

, 2014
We obtain the Mellin transforms of the generalized fractional integrals and derivatives that generalize the Riemann-Liouville and the Hadamard fractional integrals and derivatives.
Bucchianico, Butkovskii, Butzer, Butzer, Butzer, Butzer, Bóna, Erdélyi, Erdélyi, Flajolet, Gaboury, Goldman, Hadamard, Herrmann, Katugampola, Katugampola, Kilbas, Kilbas, Kilbas, Kilbas, Kiryakova, Machado, Miller, Noor, Noor, Noor, Odzijewicz, Odzijewicz, Odzijewicz, Oldham, Podlubny, Pooseh, Robbins, Robinson, Rodrigues, Roman, Roman, Roman, Rota, Rota, Samko, Udita N. Katugampola, Yakubovich   +42 more
core   +1 more source

On the weighted fractional Pólya–Szegö and Chebyshev-types integral inequalities concerning another function

Advances in Difference Equations, 2020
The primary objective of this present paper is to establish certain new weighted fractional Pólya–Szegö and Chebyshev type integral inequalities by employing the generalized weighted fractional integral involving another function Ψ in the kernel.
Kottakkaran Sooppy Nisar, Gauhar Rahman, Dumitru Baleanu, Muhammad Samraiz, Sajid Iqbal   +4 more
doaj   +1 more source

The general Caputo–Katugampola fractional derivative and numerical approach for solving the fractional differential equations

Alexandria Engineering Journal
In this manuscript, we present the general fractional derivative (FD) along with its fractional integral (FI), specifically the ψ-Caputo–Katugampola fractional derivative (ψ-CKFD).
Lakhlifa Sadek, Sahar Ahmed ldris, Fahd Jarad   +2 more
doaj   +1 more source

The Approximate Analytic Solution of the Time-Fractional Black-Scholes Equation with a European Option Based on the Katugampola Fractional Derivative

Mathematics, 2021
In the finance market, it is well known that the price change of the underlying fractal transmission system can be modeled with the Black-Scholes equation.
Sivaporn Ampun, Panumart Sawangtong
doaj   +1 more source

Generalized Taylor formulas involving generalized fractional derivatives

, 2017
In this paper, we establish a generalized Taylor expansion of a given function $f$ in the form $\displaystyle{f(x) = \sum_{j=0}^m c_j^{\alpha,\rho}\left(x^\rho-a^\rho\right)^{j\alpha} + e_m(x)}$ \noindent with $m\in \mathbb{N}$, $c_j^{\alpha,\rho}\in
Benjemaa, Mondher
core   +1 more source

On Katugampola-Prabhakar fractional integral-differential operators

Gulf Journal of Mathematics
This work systematically investigates the Katugampola-Prabhakar (K-P) fractional operators, introducing rigorous definitions for K-P integrals and integro-differential operators while establishing their fundamental properties. We develop analytical solutions to Cauchy problems for fractional ordinary differential equations incorporating K-P and Caputo ...
Kerbal, Sebti, Khasanov, Shokhzodbek
openaire   +2 more sources

Multiple positive solutions for nonlinear singular Katugampola fractional differential equations with nonlocal coupled Riemann-Stieltjes integral boundary conditions

Electronic Research Archive
Wengui Yang
openalex   +2 more sources

No‐regret and low‐regret control for a weakly coupled abstract hyperbolic system

Asian Journal of Control, Volume 28, Issue 1, Page 312-324, January 2026.
Abstract This paper explores an optimal control problem of weakly coupled abstract hyperbolic systems with missing initial data. Hyperbolic systems, known for their wave‐like phenomena and complexity, become even more challenging with weak coupling between subsystems.
Meriem Louafi, Mohammed Messaoudi, Thabet Abdeljawad, Fahd Jarad   +3 more
wiley   +1 more source

Certain new weighted estimates proposing generalized proportional fractional operator in another sense

Advances in Difference Equations, 2020
The present work investigates the applicability and effectiveness of generalized proportional fractional integral ( GPFI $\mathcal{GPFI}$ ) operator in another sense.
Thabet Abdeljawad, Saima Rashid, A. A. El-Deeb, Zakia Hammouch, Yu-Ming Chu   +4 more
doaj   +1 more source