Solving fractional nonlinear Fredholm integro-differential equations by the second kind Chebyshev wavelet

By Li Zhu, Q. Fan. 2012

234 citations recorded by the source corpus.

Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/eb4bc00b5c5c39970e3dd99c01f17e9cf0d99860

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Youssri Hassan Youssri
2. Waleed Mohamed Abd-Elhameed
3. Somayeh Mashayekhi
4. Eid H. Doha
5. Veysel Fuat Hatipoğlu
6. Mohsen Razzaghi
7. Abdulnasir Isah
8. Sertan Alkan

In Modeling and Simulation

1. Youssri Hassan Youssri
2. Waleed Mohamed Abd-Elhameed
3. Somayeh Mashayekhi
4. Eid H. Doha
5. Abdulnasir Isah
6. Chang Phang
7. Jian Rong Loh
8. Veysel Fuat Hatipoğlu

In Numerical Analysis

1. Youssri Hassan Youssri
2. Somayeh Mashayekhi
3. Waleed Mohamed Abd-Elhameed
4. Mohsen Razzaghi
5. Eid H. Doha
6. Abdulnasir Isah
7. Chang Phang
8. Jian Rong Loh

Citations in the corpus

• New Operational Matrix via Genocchi Polynomials for Solving Fredholm-Volterra Fractional Integro-Differential Equations (2017, background): “In [4], Zhu and Fan have proposed Chebyshev wavelet operational matrix of fractional integration and applied it to solve a certain type of nonlinear fractional integro-differential equations (FIDEs).”
• An approximate method for solving fractional optimal control problems by hybrid functions (2018, methodology): “For solving fractional-order differential equations using Haar, Chebyshev, and Legendre wavelets, the operational matrices for fractional order (OMFOs) of these wavelets were calculated by Li and Zhao (2010), Zhu and Fan (2012), and Heydari et al. (2014), respectively.”
• New Spectral Second Kind Chebyshev Wavelets Algorithm for Solving Linear and Nonlinear Second-Order Differential Equations Involving Singular and Bratu Type Equations (2013, methodology): “Also, Chebyshev wavelets are used for solving some differential, fractional and integral equations (see [5, 27–31]).”
• New Ultraspherical Wavelets Spectral Solutions for Fractional Riccati Differential Equations (2014, unknown): “, [18–20]).”
• Approximate solutions of Volterra-Fredholm integro-differential equations of fractional order (2017, methodology): “Some numerical algorithm for solving integrodifferential equation of fractional order can be summarized as follows: but not limited to; Adomian decomposition method [16, 18, 19], Laplace decomposition method [32], Taylor expansion method [9], least squares method [17] differential transform method [”