Results 21 to 30 of about 38 (38)

Generalization of q‐Integral Inequalities for (α, ℏ − m)‐Convex Functions and Their Refinements

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
This article finds q‐ and h‐integral inequalities in implicit form for generalized convex functions. We apply the definition of q − h‐integrals to establish some new unified inequalities for a class of (α, ℏ − m)‐convex functions. Refinements of these inequalities are given by applying a class of strongly (α, ℏ − m)‐convex functions. Several q‐integral
Ria H. Egami, Waseela Bibi, B. A. Younis, Ghulam Farid, Mohammed Ali, Shrideh K. Q. Al-Omari   +5 more
wiley   +1 more source

Saigo Fractional q‐Differentiation Operator Involving Generalized q‐Mittag–Leffler Function

Journal of Mathematics, Volume 2025, Issue 1, 2025.
The purpose of this study is to obtain the images of the generalized q‐analogue of Mittag–Leffler functions under the Saigo fractional q‐differentiation operator, where its argument consists of a factor xζxq−μ+ξ−θ. Corresponding assertions in terms of Weyl q‐integral operator, Kober q‐integral operator, and Riemann–Liouville q‐integral operator are ...
Mulugeta Dawud Ali, D. L. Suthar, Ming-Sheng Liu   +2 more
wiley   +1 more source

A placebo‐controlled, double‐blind study evaluating the effect of orally administered polyunsaturated fatty acids on the oclacitinib dose for atopic dogs

Veterinary Dermatology, Volume 35, Issue 4, Page 408-417, August 2024.
Background – Supplementation of polyunsaturated fatty acids (PUFA) enables dose reduction of prednisolone and ciclosporin in canine atopic dermatitis (cAD). Objective – To determine if oral administration of PUFA can reduce the dose of oclacitinib for cAD. Conclusion – Oral supplementation of PUFA allowed dose reduction of oclacitinib and improved pVAS,
Laura Schäfer, Nina Thom
wiley   +1 more source

Solution of nonlinear Langevin equations involving Hilfer-Hadamard fractional order derivatives and variable coefficients

Demonstratio Mathematica
This study innovates a novel technique of the nonlinear fractional Langevin equation of Hilfer-Hadamard type, incorporating an initial condition. The research demonstrates that this problem can be reformulated as an integral equation featuring a Mittag ...
Wang Huiwen, Li Fang
doaj   +1 more source

A novel fractionalized investigation of tuberculosis disease

Applied Mathematics in Science and Engineering
In this study, we investigate novel fractional tuberculosis model with Caputo fractional derivative. The computational solution of the fractional tuberculosis disease is obtained with the help of the generalized Euler's method (GEM).
Manisha Meena, Mridula Purohit, Shyamsunder, S.D. Purohit, Dumitru Baleanu, D.L. Suthar   +5 more
doaj   +1 more source

On a Method of Solution of Systems of Fractional Pseudo-Differential Equations. [PDF]

Fract Calc Appl Anal, 2021
Umarov S, Ashurov R, Ashurov R, Chen Y.
europepmc   +1 more source

Fractional-Order Susceptible-Infected Model: Definition and Applications to the Study of COVID-19 Main Protease. [PDF]

Fract Calc Appl Anal, 2020
Abadias L, Estrada-Rodriguez G, Estrada E.   +2 more
europepmc   +1 more source

Why the Mittag-Leffler Function Can Be Considered the Queen Function of the Fractional Calculus? [PDF]

Entropy (Basel), 2020
Mainardi F.
europepmc   +1 more source

Turán type inequalities for generalized Mittag-Leffler function. [PDF]

J Inequal Appl, 2017
Dou XK, Yin L.
europepmc   +1 more source

General fractional integral inequalities for convex and m-convex functions via an extended generalized Mittag-Leffler function. [PDF]

J Inequal Appl, 2018
Farid G, Khan KA, Latif N, Rehman AU, Mehmood S.   +4 more
europepmc   +1 more source