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Generalized fractional Dirac type operators [PDF]
, 2023 We introduce a class of fractional Dirac type operators with time variable coefficients by means of a Witt basis, the Djrbashian-Caputo fractional derivative and the fractional Laplacian, both operators defined with respect to some given functions ...
Restrepo, Joel +5 more
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ABSTRACT FRACTIONAL CALCULUS FOR m-ACCRETIVE OPERATORS [PDF]
International Journal of Apllied Mathematics, 2021 In this paper we aim to construct an abstract model of a differential operator with a fractional integro-differential operator composition in final terms, where modeling is understood as an interpretation of concrete differential operators in terms of the infinitesimal generator of a corresponding semigroup.
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General Fractional Calculus Operators of Distributed Order
Axioms, 2023 In this paper, two types of the general fractional derivatives of distributed order as well as a corresponding fractional integral of distributed type are defined and their basic properties are investigated. The general fractional derivatives of distributed order are constructed for a special class of the one-parametric Sonin kernels with a power law ...
Mohammed Abdalla Al-Refai, Yuri Luchko
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On Novel Fractional Operators Involving the Multivariate Mittag–Leffler Function
Mathematics, 2022 The multivariate Mittag–Leffler function is introduced and used to establish fractional calculus operators. It is shown that the fractional derivative and integral operators are bounded.
Muhammad Samraiz +5 more
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Fractional Calculus Operators and the Mittag-Leffler Function
, 2022 This book focuses on applications of the theory of fractional calculus in numerical analysis and various fields of physics and engineering. Inequalities involving fractional calculus operators containing the Mittag–Leffler function in their kernels are ...
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Nonlocal and Fractional Operators
, 2021 The purpose of this volume is to explore new bridges between different research areas involved in the theory and applications of the fractional calculus. In particular, it collects scientific and original contributions to the development of the theory of
Luisa Beghin +2 more
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Axioms, 2022 Fractional calculus has a number of applications in the field of science, specially in mathematics. In this paper, we discuss some applications of fractional differential operators in the field of geometric function theory.
Mohammad Faisal Khan +4 more
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Mathematics, 2019 Several fractional calculus operators have been introduced and investigated. In this sequence, we aim to establish the Marichev-Saigo-Maeda (MSM) fractional calculus operators and Caputo-type MSM fractional differential operators of extended Mittag ...
Serkan Araci +4 more
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Operators of Fractional Calculus and Their Applications [PDF]
Mathematics, 2018 n ...
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Advances in Difference Equations, 2021 The key objective of this study is determining several existence criteria for the sequential generalized fractional models of an elastic beam, fourth-order Navier equation in the context of quantum calculus (q-calculus).
Sina Etemad +5 more
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