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Fractional pseudospectral integration/differentiation matrix and fractional differential equations
Applied Mathematics and Computation, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Saeid Gholami +2 more
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Fractional differential equations with a $$\psi $$-Hilfer fractional derivative
Computational and Applied Mathematics, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fractional differential equations as alternative models to nonlinear differential equations
Applied Mathematics and Computation, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
B. Bonilla +3 more
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On the fractional differential equations
Applied Mathematics and Computation, 1992The author deals with the semilinear differential equation \(d^ \alpha x(t)/dt^ \alpha=f(t,x(t))\), \(t>0\), where \(\alpha\) is any positive real number. In [Kyungpook Math. J. 28, No. 2, 119-122 (1988; Zbl 0709.34011)] the author has proved the existence, uniqueness, and some properties of the solution of this equation when ...
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Fractional Pseudospectral Schemes with Equivalence for Fractional Differential Equations
SIAM Journal on Scientific Computing, 2017Summary: The main purpose of this work is to provide new fractional pseudospectral schemes with equivalence for solving fractional differential equations (FDEs). We develop differential and integral fractional pseudospectral schemes, and prove their equivalence from the distinctive perspective of the Caputo fractional Birkhoff interpolation with zero ...
Xiaojun Tang, Yang Shi 0001, Heyong Xu
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On Z-fractional differential equations
International Journal of Computer Mathematics, 2022Ha Thi Thanh Tam +3 more
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Fractional Differential Equations
2018Let the fractional differential equation (FDE) be $$\displaystyle (D^\alpha _{a_+}y)(t) = f[t,y(t)],\hspace {0.2 cm} \alpha > 0,\hspace {0.2 cm} t > a,$$ with the conditions: $$\displaystyle (D^{\alpha - k}_{a+}y)(a+) = b_k,\hspace {0.2 cm} k = 1,\ldots , n,$$ called also Riemann–Liouville FDE.
Constantin Milici +2 more
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Impulsive fractional partial differential equations
Applied Mathematics and Computation, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tian Liang Guo, KanJian Zhang
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SEQUENTIAL FRACTIONAL DIFFERENTIAL EQUATIONS AT RESONANCE
Functional Differential Equations, 2019Summary: This work is concerned with the solvability of sequential fractional differential equations at resonance. Existence results are obtained with the use of coincidence degree theory. An example is given to illustrate the results.
Baitiche, Zidane +4 more
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