Results 61 to 70 of about 2,487 (168)
Hardy-Type Inequalities for an Extension of the Riemann-Liouville Fractional Derivative Operators
In this paper we present variety of Hardy-type inequalities and their refinements for an extension of Riemann-Liouville fractional derivative operators.
Kashuri A. +3 more
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The Bernstein Operational Matrices for Solving the Fractional Quadratic Riccati Differential Equations with the Riemann-Liouville Derivative [PDF]
, 2013 We obtain the approximate analytical solution for the fractional quadratic Riccati differential equation with the Riemann-Liouville derivative by using the Bernstein polynomials (BPs) operational matrices.
Mohsen Alipour +2 more
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Numerical approach of riemann-liouville fractional derivative operator
, 2021 This article introduces some new straightforward and yet powerful formulas in the form of series solutions together with their residual errors for approximating the Riemann-Liouville fractional derivative operator. These formulas are derived by utilizing
Tahat, Nedal +9 more
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Solution set for fractional differential equations with Riemann-Liouville derivative
Fractional Calculus and Applied Analysis, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chalco-Cano, Yurilev +3 more
openaire +6 more sources
A fractional residue theorem and its applications in calculating real integrals
Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.Abstract As part of an ongoing effort to fractionalise complex analysis, we present a fractional version of the residue theorem, involving pseudo‐residues calculated at branch points. Since fractional derivatives are non‐local and fractional powers necessitate branch cuts, each pseudo‐residue depends on a line segment in the complex plane rather than a
Egor Zaytsev, Arran Fernandez
wiley +1 more source
Engineering Reports, Volume 8, Issue 3, March 2026.We develop and analyze a fractional‐order avian influenza chicken model for chicken farms, providing existence, uniqueness, and stability results. With real Bangladesh farm data and 80% vaccine efficacy, numerical results show that combining vaccination and treatment can control disease spread by reducing the basic reproduction number below one ...
Muhammad Altaf Khan +4 more
wiley +1 more source
Fast algorithms for convolution quadrature of Riemann-Liouville fractional derivative
, 2019 Recently, the numerical schemes of the Fokker-Planck equations describing anomalous diffusion with two internal states have been proposed in [Nie, Sun and Deng, arXiv: 1811.04723], which use convolution quadrature to approximate the Riemann-Liouville ...
Nie, Daxin, Deng, Weihua, Sun, Jing
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Engineering Reports, Volume 8, Issue 2, February 2026.Explore the soliton solutions, stability, and chaotic characteristics of the M fractional (3+1)‐dimensional generalized B‐type Kadomtsev–Petviashvili (gBKP) equation, where a Galilean transformation is performed to get the related system of equations.
Md. Habibul Bashar +5 more
wiley +1 more source
Stability Concepts of Riemann-Liouville Fractional-Order Delay Nonlinear Systems
, 2021 First, we set up in an appropriate way the initial value problem for nonlinear delay differential equations with a Riemann-Liouville (RL) fractional derivative.
Snezhana Hristova +2 more
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, 2010 The modified Riemann–Liouville fractional derivative applies to functions which are fractional differentiable but not differentiable, in such a manner that they cannot be analyzed by means of the Djrbashian fractional derivative. It provides a fractional
Jumarie, Guy, Guy Jumarie
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