Results 11 to 20 of about 1,581 (158)
Local fractional integrals involving generalized strongly m-convex mappings [PDF]
Arabian Journal of Mathematics, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Anastassiou, George +2 more
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Some New Fractal Milne-Type Integral Inequalities via Generalized Convexity with Applications
Fractal and Fractional, 2023 This study aims to construct some new Milne-type integral inequalities for functions whose modulus of the local fractional derivatives is convex on the fractal set.
Badreddine Meftah +3 more
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New Inequalities for Local Fractional Integrals
Iranian Journal of Science and Technology, Transactions A: Science, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Budak, Hüseyin +2 more
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New Aspects of Bloch Model Associated with Fractal Fractional Derivatives
Nonlinear Engineering, 2021 To model complex real world problems, the novel concept of non-local fractal-fractional differential and integral operators with two orders (fractional order and fractal dimension) have been used as mathematical tools in contrast to classical derivatives
Akgül Ali +2 more
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Local discontinuous Galerkin method for the fractional diffusion equation with integral fractional Laplacian [PDF]
Computers & Mathematics with Applications, 2021 In this paper, we provide a framework of designing the local discontinuous Galerkin scheme for integral fractional Laplacian $(- )^{s}$ with $s\in(0,1)$ in two dimensions. We theoretically prove and numerically verify the numerical stability and convergence of the scheme with the convergence rate no worse than $\mathcal{O}(h^{k+\frac{1}{2}})$.
Daxin Nie, Weihua Deng
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Abelian Groups of Fractional Operators
Computer Sciences & Mathematics Forum, 2022 Taking into count the large number of fractional operators that have been generated over the years, and considering that their number is unlikely to stop increasing at the time of writing this paper due to the recent boom of fractional calculus ...
Anthony Torres-Hernandez +2 more
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Mathematics, 2022 In this article, we investigate the existence and uniqueness of solutions for a nonlinear coupled system of Liouville–Caputo type fractional integro-differential equations supplemented with non-local discrete and integral boundary conditions.
Muthaiah Subramanian +4 more
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Some new local fractional integral inequalities
Tbilisi Mathematical Journal, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sarikaya, Mehmet Zeki, Budak, Hüseyin
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Local Convergence of the FEM for the Integral Fractional Laplacian
SIAM Journal on Numerical Analysis, 2022 We provide for first order discretizations of the integral fractional Laplacian sharp local error estimates on proper subdomains in both the local $H^1$-norm and the localized energy norm. Our estimates have the form of a local best approximation error plus a global error measured in a weaker norm.
Faustmann, Markus +2 more
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General Fractional Noether Theorem and Non-Holonomic Action Principle
Mathematics, 2023 Using general fractional calculus (GFC) of the Luchko form and non-holonomic variational equations of Sedov type, generalizations of the standard action principle and first Noether theorem are proposed and proved for non-local (general fractional) non ...
Vasily E. Tarasov
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