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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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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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On Z-fractional differential equations
International Journal of Computer Mathematics, 2022Ha Thi Thanh Tam +3 more
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Linear Stationary Fractional Differential Equations
Fractional Calculus and Applied Analysis, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nosov, Valeriy +1 more
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Integro-Differential Equations of Fractional Order
Differential Equations and Dynamical Systems, 2012For a Cauchy type problem for a two-dimensional integro-differential equation of fractional order the global unique existence of a solution is proved if the nonlinearity satisfies a global Lipschitz condition with a sufficiently small Lipschitz constant.
Abbas, Saïd +2 more
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On Caputo–Hadamard fractional differential equations
International Journal of Computer Mathematics, 2019In this paper, the existence and uniqueness of solution to Caputo–Hadamard fractional differential equation (FDE) are studied. The continuation theorem is established too.
Madiha Gohar, Changpin Li, Chuntao Yin
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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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Solution of a fractional logistic ordinary differential equation
Applied Mathematics Letters, 2022Juan J Nieto
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