Results 21 to 30 of about 250,457 (286)
Generalized fractional power series solutions for fractional differential equations
Applied Mathematics Letters, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Angstmann, CN, Henry, BI
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Alexandria Engineering Journal, 2019 In the present paper, we use efficient and simple algorithms of the fractional power series and Adomain polynomial methods that provide effective tools for solving such linear and nonlinear fractional differential equations in the sense of conformable ...
Zeyad Al-Zhour +3 more
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On simple iterative fractional order differential equations [PDF]
, 2016 In this paper, the simple fractional iterative differential equation will be the focus of study Dβv(s)=vn(s), v(s0)=a. where s0, v0 ∈ I = [0, b], and 0 < β < 1.
Damag, Faten Hasan Mohammed +1 more
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Fast Hybrid Schemes for Fractional Riccati Equations (Rough is not so Tough)
, 2020 We solve a family of fractional Riccati differential equations with constant (possibly complex) coefficients. These equations arise, e.g., in fractional Heston stochastic volatility models, that have received great attention in the recent financial ...
Gilles, Pagès +2 more
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Abstract and Applied Analysis, 2013 Two tecHniques were implemented, the Adomian decomposition method (ADM) and multivariate Padé approximation (MPA), for solving nonlinear partial differential equations of fractional order. The fractional derivatives are described in Caputo sense.
Veyis Turut, Nuran Güzel
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Toward computational algorithm for time-fractional Fokker–Planck models
Advances in Mechanical Engineering, 2019 This article describes an efficient algorithm based on residual power series to approximate the solution of a class of partial differential equations of time-fractional Fokker–Planck model. The fractional derivative is assumed in the Caputo sense.
Asad Freihet +5 more
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A Systematic Approach to Delay Functions
Mathematics, 2023 We present a systematic introduction to a class of functions that provide fundamental solutions for autonomous linear integer-order and fractional-order delay differential equations.
Christopher N. Angstmann +4 more
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Simple Wald tests of the fractional integration parameter : an overview of new results [PDF]
, 2008 This paper presents an overview of some new results regarding an easily implementable Wald test-statistic (EFDF test) of the null hypotheses that a time-series process is I(1) or I(0) against fractional I(d) alternatives, with d∈(0,1), allowing for ...
Dolado, Juan José +2 more
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Results in Physics, 2019 In this paper, we present numerical analytical solutions of a fractional multi-pantograph system by using two attractive methods with rapidly convergence, control of the convergence region and easily software accounts of the infinite series solutions ...
Ahmad El-Ajou +3 more
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FRACTIONAL POWER SERIES APPROACH FOR THE SOLUTION OF FRACTIONAL-ORDER INTEGRO-DIFFERENTIAL EQUATIONS
Fractals, 2021 Fractional differential and integral equations are focus of the researchers owing to their tremendous applications in different field of science and technology, such as physics, chemistry, mathematical biology, dynamical system and engineering. In this work, a power series approach called Residual Power Series Method (RPSM) is applied for the solution
Muhammad Akbar +6 more
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