Results 171 to 180 of about 11,783 (202)

Fitted schemes for Caputo-Hadamard fractional differential equations

Numerical Algorithms, 2023
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Caixia Ou, Dakang Cen, Zhibo Wang 0007, Seakweng Vong   +3 more
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CAPUTO LINEAR FRACTIONAL DIFFERENTIAL EQUATIONS

IFAC Proceedings Volumes, 2006
Abstract This paper is devoted to the study of nonsequential linear fractional differential equations with constant coefficients involving the Caputo fractional derivatives. The Laplace transform is applied to obtain the general explicit solutions for the equations being studied in terms of Mittag-Leffler functions and generalized Wright functions ...
A.A. Kilbas, M. Rivero, L. Rodríguez-Germá, J.J. Trujillo   +3 more
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Caputo-Hadamard Fractional Differential Equations in Banach Spaces

Fractional Calculus and Applied Analysis, 2018
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Said Abbas, Mouffak Benchohra, Johnny Henderson   +2 more
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Krawtchouk wavelets method for solving Caputo and Caputo–Hadamard fractional differential equations

Mathematical Methods in the Applied Sciences, 2022
PurposeThe purpose of the present work is to develop a new wavelet method, named as Krawtchouk wavelets method, for solving both Caputo fractional and Caputo–Hadamard fractional differential equations on a semi‐infinite domain.Design/methodology/approachWe have utilized the discrete Krawtchouk orthogonal polynomial for the construction of Krawtchouk ...
Umer Saeed, Shafaq Idrees, Khurram Javid, Qamar Din   +3 more
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A note on the continuity for Caputo fractional stochastic differential equations

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2020
The first aim of this paper is to establish the well-posedness for a type of Caputo fractional stochastic differential equations, and we obtain the global existence and uniqueness of solutions under some conditions consistent with the classic (integer order) stochastic differential equations.
Wenya Wang, Shuilin Cheng, Zhongkai Guo, Xingjie Yan   +3 more
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A NOTE ON THE EXISTENCE OF SOLUTIONS FOR CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS

Journal of Integral Equations and Applications
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Islam, Muhammad N., Koyuncuoğlu, Halis Can, Raffoul, Youssef N.   +2 more
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Euler–Maruyama scheme for Caputo stochastic fractional differential equations

Journal of Computational and Applied Mathematics, 2020
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Thai Son Doan 0001, Phan Thi Huong, Peter E. Kloeden, Anh My Vu   +3 more
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Numerical algorithms for Caputo fractional-order differential equations

International Journal of Control, 2016
ABSTRACTThe initial value problems (IVPs) of Caputo fractional-order differential equations are very important in control systems modelling and simulation. A series of numerical algorithms are proposed in the paper in solving systematically various kinds of Caputo equations.
Dingyü Xue, Lu Bai
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Fractional differential equations of Caputo–Katugampola type and numerical solutions

Applied Mathematics and Computation, 2017
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Shengda Zeng, Dumitru Baleanu, Yunru Bai   +2 more
exaly   +3 more sources

COMPARISON THEOREMS FOR CAPUTO–HADAMARD FRACTIONAL DIFFERENTIAL EQUATIONS

Fractals, 2019
The main purpose of this paper is to investigate the comparison theorems for fractional differential equations involving Caputo–Hadamard fractional derivatives. First, we indicate the continuous dependence on parameters of solutions for Caputo–Hadamard fractional differential equations (C-HFDEs).
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