Results 51 to 60 of about 346 (92)

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

open access: yesJournal 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   +2 more
wiley   +1 more source

A note on Hadamard fractional differential equations with varying coefficients and their applications in probability

open access: yes, 2017
In this paper we show several connections between special functions arising from generalized COM-Poisson-type statistical distributions and integro-differential equations with varying coefficients involving Hadamard-type operators. New analytical results
Garra, Roberto   +2 more
core   +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

open access: yesVeterinary 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

open access: yesDemonstratio 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

open access: yesApplied 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   +5 more
doaj   +1 more source

Multiparameter K-Mittag-Leffler Function

open access: yes, 2013
In this paper author introduce Multiparameter K-Mittag-Leffler Function definded as, pK (β,η)m q,k [z] = pK (β,η)m q,k [a1, .., ap; b1, .., bq , (β1, η1), .., (βm, ηm); z], pK (β,η)m q,k [z] = ∞ ∑ n=0 ∏p j=1(aj)n,k z n ∏q r=1(br)n,k ∏m i=1 Γk(ηin+ βi ...
K. S. Gehlot
semanticscholar   +1 more source

A Poster about the Recent History of Fractional Calculus [PDF]

open access: yes, 2010
MSC 2010: 26A33, 05C72, 33E12, 34A08, 34K37, 35R11, 60G22In the last decades fractional calculus became an area of intense re-search and development.
Kiryakova, Virginia   +2 more
core  

Certain Properties of Fractional Calculus Operators Associated with Generalized Mittag-Leffler Function [PDF]

open access: yes, 2005
Mathematics Subject Classification: 26A33, 33E12, 33C20.It has been shown that the fractional integration and differentiation operators transform such functions with power multipliers into the functions of the same form. Some of the results given earlier
Saigo, Megumi, Saxena, R. K.
core  

On q–Analogues of Caputo Derivative and Mittag–Leffler Function [PDF]

open access: yes, 2007
Mathematics Subject Classification: 33D60, 33E12, 26A33Based on the fractional q–integral with the parametric lower limit of integration, we consider the fractional q–derivative of Caputo type.
Marinkovic, Sladjana   +2 more
core  

Inverse source problems for degenerate time-fractional PDE

open access: yes, 2020
In this paper, we investigate two inverse source problems for degenerate time-fractional partial differential equation in rectangular domains. The first problem involves a space-degenerate partial differential equation and the second one involves a time ...
Al-Salti, Nasser, Karimov, Erkinjon
core  

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