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Zeroing Operators for Differential Initial Values Applied to Fractional Operators in the Self-Congruent Physical Space

Fractal and Fractional
Non-zero differential initial values hinder the application of fractional operator theory in practical systems. This paper proposes a differential initial values zeroing method, decomposing functions with non-zero differential initial values into a ...
Gang Peng, Zhimo Jian, Meilin Li, Yu Wu, Meiling Yang, Yajun Yin   +5 more
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Integro-differential equations with bounded operators in Banach spaces [PDF]

Қарағанды университетінің хабаршысы. Математика сериясы, 2022
The paper investigates integro-differential equations in Banach spaces with operators, which are a composition of convolution and differentiation operators.
V.E. Fedorov, A.D. Godova, B.T. Kien
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On convergence of explicit finite volume scheme for one-dimensional three-component two-phase flow model in porous media

Demonstratio Mathematica, 2021
In this work, we develop and analyze an explicit finite volume scheme for a one-dimensional nonlinear, degenerate, convection–diffusion equation having application in petroleum reservoir.
Mostefai Mohamed Lamine, Choucha Abdelbaki, Cherif Bahri   +2 more
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The differential on operator S(Γ)

Mathematical Biosciences and Engineering, 2023
Consider a simple graph $ \Gamma = (V(\Gamma), E(\Gamma)) $ with $ n $ vertices and $ m $ edges. Let $ P $ be a subset of $ V(\Gamma) $ and $ B(P) $ the set of neighbors of $ P $ in $ V(\Gamma)\backslash P $.
Jair Castro, Ludwin A. Basilio , Gerardo Reyna, Omar Rosario   +3 more
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A Class of Symmetric Fractional Differential Operator Formed by Special Functions

Journal of Mathematics, 2022
In light of a certain sort of fractional calculus, a generalized symmetric fractional differential operator based on Raina’s function is built. The generalized operator is then used to create a formula for analytic functions of type normalized.
Ibtisam Aldawish, Rabha W. Ibrahim, Suzan J. Obaiys   +2 more
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Beta Operator with Caputo Marichev-Saigo-Maeda Fractional Differential Operator of Extended Mittag-Leffler Function

Advances in Mathematical Physics, 2021
In this paper, a beta operator is used with Caputo Marichev-Saigo-Maeda (MSM) fractional differentiation of extended Mittag-Leffler function in terms of beta function.
Tayyaba Manzoor, Adnan Khan, Kahsay Godifey Wubneh, Hafte Amsalu Kahsay   +3 more
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Laplace Operator with Caputo-Type Marichev–Saigo–Maeda Fractional Differential Operator of Extended Mittag-Leffler Function

Discrete Dynamics in Nature and Society, 2021
In this paper, the Laplace operator is used with Caputo-Type Marichev–Saigo–Maeda (MSM) fractional differentiation of the extended Mittag-Leffler function in terms of the Laplace function.
Adnan Khan, Tayyaba Manzoor, Hafte Amsalu Kahsay, Kahsay Godifey Wubneh   +3 more
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Some Subordination Results Defined by Using the Symmetric q-Differential Operator for Multivalent Functions

Axioms, 2023
In this article, we use the concept of symmetric q-calculus and convolution in order to define a symmetric q-differential operator for multivalent functions. This operator is an extension of the classical Ruscheweyh differential operator.
Saima Noor, Sa’ud Al-Sa’di, Saqib Hussain   +2 more
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A characterization for $B$-singular integral operator and its commutators on generalized weighted $B$-Morrey spaces

Karpatsʹkì Matematičnì Publìkacìï, 2023
We study the maximal operator $M_{\gamma}$ and the singular integral operator $A_{\gamma}$, associated with the generalized shift operator. The generalized shift operators are associated with the Laplace-Bessel differential operator.
J.J. Hasanov, I. Ekincioglu, C. Keskin
doaj   +1 more source

SUBORDINATION RESULTS FOR A FRACTIONAL INTEGRAL OPERATOR

Проблемы анализа, 2021
In this paper, we establish several differential subordinations regarding the operator 𝐷^(−𝜆)_𝑧 𝑆𝑅^(𝑚,𝑛) defined using the fractional integral of the differential operator 𝑆𝑅^(𝑚,𝑛), obtained as a convolution product of Salagean operator 𝑆^𝑚 and ...
A. Alb Lupaş
doaj   +1 more source