Solution of fractional autonomous ordinary differential equations
Journal of Mathematics and Computer Science, 2022 Autonomous differential equations of fractional order and non-singular kernel are solved. While solutions can be obtained through numerical, graphical, or analytical solutions, we seek an implicit analytical solution.
Rami AlAhmad, Q. AlAhmad, A. Abdelhadi
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Numerical solutions of ordinary fractional differential equations with singularities [PDF]
, 2018 BGSiam ...
Yuri Dimitrov +2 more
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Multivalue Collocation Methods for Ordinary and Fractional Differential Equations [PDF]
Mathematics, 2022 The present paper illustrates some classes of multivalue methods for the numerical solution of ordinary and fractional differential equations. In particular, it focuses on two-step and mixed collocation methods, Nordsieck GLM collocation methods for ...
Angelamaria Cardone +3 more
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On Lie Symmetry Analysis of Certain Coupled Fractional Ordinary Differential Equations [PDF]
Journal of Nonlinear Mathematical Physics, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
K. Sethukumarasamy +2 more
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Fractional High Order Methods For The Nonlinear Fractional Ordinary Differential Equation [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2007 The paper begins by referring to applications of fractional order equations, along with a brief summary of the main results achieved for this type of equation in the last decade. The authors consider the nonlinear fractional-order order differential equation (NFOODE), \(_0D_t^\alpha y(t)=f(y,t), (t>0), n ...
Rongying Lin, Fawang Liu
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Solving Some Fractional Ordinary Differential Equations by SBA Method
Journal of Mathematics Research, 2023 In this paper we have solved some temporal fractional functional equations in the sense of Caputo by a numerical method called SOME BLAISE ABBO(SBA). Unlike classical numerical methods, this method bypasses discretization. Despite its youth, it has already proven itself.
Germain KABORE +4 more
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Fractional derivatives and time-fractional ordinary differential equations in $L^p$-space [PDF]
, 2022 We define fractional derivatives $\pppa$ in Sobolev spaces based on $L^p(0,T)$ by an operator theory, and characterize the domain of $\pppa$ in subspaces of the Sobolev-Slobodecki spaces $W^{ ,p}(0,T)$. Moreover we define $\pppa u$ for $u\in L^p(0,T)$ in a sense of distribution.
Masahiro Yamamoto
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Dirac Factorization, Partial/Ordinary Differential Equations and Fractional Calculus [PDF]
SymmetryThe Dirac factorization method (DFM) is the key feature of the present investigation. It is addressed to the relevant use in diverse fields of research, regarding, e.g., the handling of pseudo-operators arising in quantum mechanics and fractional calculus.
G. Dattoli +2 more
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Solution of Conformable Fractional Ordinary Differential Equations via Differential Transform Method [PDF]
Optik, 2016 Recently, a new fractional derivative called the conformable fractional derivative is given which is based on the basic limit definition of the derivative in [1]. Then, the fractional versions of chain rules, exponential functions, Gronwall's inequality, integration by parts, Taylor power series expansions is developed in [2].
Emrahünal, Ahmet Gökdoğan
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Numerical Schemes for Fractional Ordinary Differential Equations
, 2012 Fractional calculus, which has almost the same history as classic calculus, did not attract enough attention for a long time. However, in recent decades, fractional calculus and fractional differential equations become more and more popular because of its powerful potential applications.
Weihua Deng, Can Li
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