Results 41 to 50 of about 1,581 (158)
Fractional thermal diffusion and the heat equation
Open Physics, 2015 Fractional calculus is the branch of mathematical analysis that deals with operators interpreted as derivatives and integrals of non-integer order. This mathematical representation is used in the description of non-local behaviors and anomalous complex ...
Gómez Francisco +4 more
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Demonstratio Mathematica, 2023 Local fractional integral inequalities of Hermite-Hadamard type involving local fractional integral operators with Mittag-Leffler kernel have been previously studied for generalized convexities and preinvexities.
Vivas-Cortez Miguel +3 more
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Journal of Numerical Analysis and Approximation Theory, 2018 We present a semi-local convergence analysis for a class of iterative methods under generalized conditions. Some applications are suggested including Banach space valued functions of fractional calculus, where all integrals are of Bochner-type.
Ioannis K. Argyros +1 more
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Axioms, 2023 Research in this paper aims to explore the concept of generalized exponentially (s,m)-convex functions, and to determine some properties of these functions.
Wedad Saleh, Adem Kılıçman
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On tempered fractional Bullen-type inequalities: analysis in different function settings
Kuwait Journal of ScienceTempered fractional integrals offer a flexible and physically realistic extension of classical fractional operators by incorporating an exponential tempering factor that attenuates long-range memory effects.
Abdelghani Lakhdari +3 more
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On fractional deviation operators
Le Matematiche, 1997 The so called fractional deviation operators are introduced. This class of integral transforms appears naturally from the study of iteration of fractional integrals of Riemann-Liouville type. Since B.
Carlos C. Peña
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Double Local Fractional Yang–Laplace Transform for Local Fractional PDEs on Fractal Domains
Fractal and FractionalThis study introduces a novel analytical technique known as the double local fractional Yang–Laplace transform method (LFLζ2) and rigorously investigates its foundational properties, including linearity, differentiation, and convolution.
Djelloul Ziane +3 more
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Exploring the Companion of Ostrowski's Inequalities via Local Fractional Integrals
European Journal of Pure and Applied Mathematics, 2023 This paper investigates the companion of Ostrowski's inequality in the framework of fractal sets. First, a new identity related to local fractional integrals is introduced, serving as the foundation for establishing a set of inequalities applicable to functions with generalized $s$-convex and $s$-concave derivatives.
Saleh, Wedad +3 more
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Miskolc Mathematical NotesIn this paper, we establish the generalized Hermite–Hadamard- and Pachpatte-type integral inequalities for local fractional integrals via the generalized subadditive functions.
Tingsong Du, Lei Xu
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About a Problem for Loaded Parabolic-Hyperbolic Type Equation with Fractional Derivatives
International Journal of Differential Equations, 2016 An existence and uniqueness of solution of local boundary value problem with discontinuous matching condition for the loaded parabolic-hyperbolic equation involving the Caputo fractional derivative and Riemann-Liouville integrals have been investigated ...
Kishin B. Sadarangani +1 more
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