Results 51 to 60 of about 346 (92)
Saigo Fractional q‐Differentiation Operator Involving Generalized q‐Mittag–Leffler Function
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
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
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
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
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
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]
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]
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]
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
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

