412
Views
28
CrossRef citations to date
0
Altmetric
SECTION B

CAS wavelet method for solving the fractional integro-differential equation with a weakly singular kernel

&
Pages 1715-1728 | Received 17 Sep 2013, Accepted 03 Sep 2014, Published online: 15 Oct 2014

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (1)

B. Kh. Mousavi & M. H. Heydari. (2020) Wilson wavelets method for solving nonlinear fractional Fredholm–Hammerstein integro-differential equations. International Journal of Computer Mathematics 97:11, pages 2165-2177.
Read now

Articles from other publishers (27)

Sayed Arsalan Sajjadi, Hashem Saberi Najafi & Hossein Aminikhah. (2024) An efficient numerical method based on ultraspherical polynomials for linear weakly singular fractional Volterra integro‐differential equations. Mathematical Methods in the Applied Sciences.
Crossref
Dilek VAROL & Ayşegül DAŞCIOĞLU. (2024) Laguerre Collocation Approach of Caputo Fractional Fredholm-Volterra Integro-Differential Equations. Universal Journal of Mathematics and Applications 7:1, pages 38-45.
Crossref
Yanxin Wang & Xiaofang Zhou. (2024) An Efficient Numerical Method Based on Bell Wavelets for Solving the Fractional Integro-Differential Equations with Weakly Singular Kernels. Fractal and Fractional 8:2, pages 74.
Crossref
Umer Saeed. (2023) A method for solving Caputo–Hadamard fractional initial and boundary value problems. Mathematical Methods in the Applied Sciences 46:13, pages 13907-13921.
Crossref
Taiye Oyedepo Ayinde, Matthew Olanrewaju Oluwayemi, Muhammed Abdullahi, Johnson Adekunle Osilagun & Lukman Olalekan Ahmed. (2023) Homotopy Perturbation Technique for Fractional Volterra and Fredholm Integro Differential Equations. Homotopy Perturbation Technique for Fractional Volterra and Fredholm Integro Differential Equations.
Sayed Arsalan Sajjadi, Hashem Saberi Najafi & Hossein Aminikhah. (2022) A numerical study on the non‐smooth solutions of the nonlinear weakly singular fractional Volterra integro‐differential equations. Mathematical Methods in the Applied Sciences 46:4, pages 4070-4084.
Crossref
Umer Saeed, Shafaq Idrees, Khurram Javid & Qamar Din. (2022) Krawtchouk wavelets method for solving Caputo and Caputo–Hadamard fractional differential equations. Mathematical Methods in the Applied Sciences 45:17, pages 11331-11354.
Crossref
Weishan Zheng & Yanping Chen. (2022) Numerical approach for weakly singular equation with nonlinear delay. Bulletin of the Malaysian Mathematical Sciences Society 45:6, pages 2821-2842.
Crossref
Srikanta Behera & Santanu Saha Ray. (2022) On a wavelet-based numerical method for linear and nonlinear fractional Volterra integro-differential equations with weakly singular kernels. Computational and Applied Mathematics 41:5.
Crossref
M. Taghipour & H. Aminikhah. (2022) A fast collocation method for solving the weakly singular fractional integro-differential equation. Computational and Applied Mathematics 41:4.
Crossref
Mohamed A. Abdelkawy, Ahmed Z. M. Amin, António M. Lopes, Ishak Hashim & Mohammed M. Babatin. (2021) Shifted Fractional-Order Jacobi Collocation Method for Solving Variable-Order Fractional Integro-Differential Equation with Weakly Singular Kernel. Fractal and Fractional 6:1, pages 19.
Crossref
Khadijeh Sadri, Kamyar Hosseini, Dumitru Baleanu, Soheil Salahshour & Choonkil Park. (2021) Designing a Matrix Collocation Method for Fractional Delay Integro-Differential Equations with Weakly Singular Kernels Based on Vieta–Fibonacci Polynomials. Fractal and Fractional 6:1, pages 2.
Crossref
S. Behera & S. Saha Ray. (2021) Euler wavelets method for solving fractional-order linear Volterra–Fredholm integro-differential equations with weakly singular kernels. Computational and Applied Mathematics 40:6.
Crossref
Reena Koundal, Rakesh Kumar, Ravinder Kumar, K. Srivastava & D. Baleanu. (2021) A Novel Collocated-Shifted Lucas Polynomial Approach for Fractional Integro-Differential Equations. International Journal of Applied and Computational Mathematics 7:4.
Crossref
Esmail Bargamadi, Leila Torkzadeh, Kazem Nouri & Amin Jajarmi. (2021) Solving a System of Fractional-Order Volterra-Fredholm Integro-Differential Equations with Weakly Singular Kernels via the Second Chebyshev Wavelets Method. Fractal and Fractional 5:3, pages 70.
Crossref
Guodong Shi, Yanlei Gong & Mingxu Yi. (2021) Alternative Legendre Polynomials Method for Nonlinear Fractional Integro-Differential Equations with Weakly Singular Kernel. Journal of Mathematics 2021, pages 1-13.
Crossref
Muhammad Ismail, Umer Saeed, Jehad Alzabut & Mujeeb ur Rehman. (2019) Approximate Solutions for Fractional Boundary Value Problems via Green-CAS Wavelet Method. Mathematics 7:12, pages 1164.
Crossref
Haniye Dehestani, Yadollah Ordokhani & Mohsen Razzaghi. (2019) On the applicability of Genocchi wavelet method for different kinds of fractional‐order differential equations with delay. Numerical Linear Algebra with Applications 26:5.
Crossref
Elham Keshavarz & Yadollah Ordokhani. (2019) A fast numerical algorithm based on the Taylor wavelets for solving the fractional integro‐differential equations with weakly singular kernels. Mathematical Methods in the Applied Sciences 42:13, pages 4427-4443.
Crossref
Shiva Sharma, Rajesh K. Pandey & Kamlesh Kumar. (2018) Galerkin and Collocation Methods for Weakly Singular Fractional Integro-differential Equations. Iranian Journal of Science and Technology, Transactions A: Science 43:4, pages 1649-1656.
Crossref
Jafar Biazar & Khadijeh Sadri. (2019) Solution of weakly singular fractional integro-differential equations by using a new operational approach. Journal of Computational and Applied Mathematics 352, pages 453-477.
Crossref
Khadija Gilani & Umer Saeed. (2018) CAS Wavelet Picard Technique for Burger’s–Huxley and Burgers Equation. International Journal of Applied and Computational Mathematics 4:5.
Crossref
S. Nemati & P.M. Lima. (2018) Numerical solution of nonlinear fractional integro-differential equations with weakly singular kernels via a modification of hat functions. Applied Mathematics and Computation 327, pages 79-92.
Crossref
PK Sahu & S Saha Ray. (2016) Comparison on wavelets techniques for solving fractional optimal control problems. Journal of Vibration and Control 24:6, pages 1185-1201.
Crossref
Umer Saeed & Khadija Gilani. (2018) CAS wavelet quasi-linearization technique for the generalized Burger–Fisher equation. Mathematical Sciences 12:1, pages 61-69.
Crossref
Behrouz Parsa Moghaddam & José António Tenreiro Machado. (2017) A Computational Approach for the Solution of A Class of Variable-Order Fractional Integro-Differential Equations With Weakly Singular Kernels. Fractional Calculus and Applied Analysis 20:4, pages 1023-1042.
Crossref
Yanxin Wang & Li Zhu. (2016) SCW method for solving the fractional integro-differential equations with a weakly singular kernel. Applied Mathematics and Computation 275, pages 72-80.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.