Results 31 to 40 of about 247,781 (292)
High-Order Schemes for Nonlinear Fractional Differential Equations
Fractal and Fractional, 2022 We propose high-order schemes for nonlinear fractional initial value problems. We split the fractional integral into a history term and a local term. We take advantage of the sum of exponentials (SOE) scheme in order to approximate the history term.
Omar Alsayyed +3 more
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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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Fractal and Fractional, 2022 The present paper provides several corrected dual-Simpson-type inequalities for functions whose local fractional derivatives are generalized convex. To that end, we derive a new local fractional integral identity as an auxiliary result.
Abdelghani Lakhdari +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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Fractional Gradient Elasticity from Spatial Dispersion Law [PDF]
, 2014 Non-local elasticity models in continuum mechanics can be treated with two different approaches: the gradient elasticity models (weak non-locality) and the integral non-local models (strong non-locality).
Tarasov, Vasily E.
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Numerical solution of Atangana–Baleanu–Caputo time-space fractional diffusion equation
Arab Journal of Basic and Applied Sciences, 2022 In this article, the time-space fractional diffusion equation is solved by using the fractional operator in Atangana–Baleanu–Caputo (ABC) sense based on the Mittag-Leffler function involving non-singular and non-local kernels.
Saira Siddiqui +2 more
doaj +1 more source
Convergence of dependent walks in a random scenery to fBm-local time fractional stable motions [PDF]
, 2008 It is classical to approximate the distribution of fractional Brownian motion by a renormalized sum $ S_n $ of dependent Gaussian random variables. In this paper we consider such a walk $ Z_n $ that collects random rewards $ \xi_j $ for $ j \in \mathbb Z,
Cohen, Serge, Dombry, Clément
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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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Advances in Mathematical Physics, 2022 In this paper, the local fractional version of homotopy perturbation method (HPM) is established for a new class of local fractional integral-differential equation (IDE). With the embedded homotopy parameter monotonously changing from 0 to 1, the special
Bo Xu, Sheng Zhang
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Weighted Cauchy-type problem of a functional differ-integral equation [PDF]
, 2007 In this work, we are concerned with a nonlinear weighted Cauchy type problem of a differ-integral equation of fractional order. We will prove some local and global existence theorems for this problem, also we will study the uniqueness and stability of ...
AbdEl-Salam, Sh.A., El-Sayed, Ahmed
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