Approximate solution for a system of fractional integro-differential equations by Müntz Legendre wavelets

Y. Barazandeh

Approximate solution for a system of fractional integro-differential equations by Müntz Legendre wavelets

Publish place: Iranian Journal of Numerical Analysis and Optimization، Vol: 11، Issue: 1

Publish Year: 1400

نوع سند: مقاله ژورنالی

زبان: English

This Paper With 18 Page And PDF Format Ready To Download

دریافت فایل کامل Paper

Certificate
من نویسنده این مقاله هستم

استخراج به نرم افزارهای پژوهشی:

لینک ثابت به این Paper:

https://civilica.com/doc/1170462

شناسه ملی سند علمی:

JR_IJNAO-11-1_003

تاریخ نمایه سازی: 17 فروردین 1400

Abstract:

We use the Müntz Legendre wavelets and operational matrix to solve a system of fractional integro-differential equations. In this method, the system of integro-differential equations shifts into the systems of the algebraic equation, which can be solved easily. Finally, some examples confirming the applicability, accuracy, and efficiency of the proposed method are given.

Keywords:

System of fractional integro-differential equations , Caputo fractional derivative , Müntz Legendre method

Authors

Y. Barazandeh

Department of Mathematics, Lorestan University, Khorramabad, Iran.

مراجع و منابع این Paper:

لیست زیر مراجع و منابع استفاده شده در این Paper را نمایش می دهد. این مراجع به صورت کاملا ماشینی و بر اساس هوش مصنوعی استخراج شده اند و لذا ممکن است دارای اشکالاتی باشند که به مرور زمان دقت استخراج این محتوا افزایش می یابد. مراجعی که مقالات مربوط به آنها در سیویلیکا نمایه شده و پیدا شده اند، به خود Paper لینک شده اند :

1. Arikoglu, A. and Ozkol, I. Solution of fractional integro-differential ...
2. Aslefallah, M. and Rostamy, D. A numerical scheme for ...
3. Aslefallah, M., Rostamy, D., and Hosseinkhani, K. Solving time ...
4. Babolian, E., Maleknejad, K., and Mordad, M. A numerical ...
using block pulse functions and an operational matrix, J. Comput. ...
5. Bahmanpour, M., Tavassoli Kajani, M., and Maleki, M. Solving ...
6. Biazar, J., and Ebrahimi, H. Chebyshev wavelets approach for ...
7. Ebadian, A. and Khajehnasiri, A.A. Block-pulse functions and their ...
8. Esmaeili, S., Shamsi, M., and Luchko, Y. Numerical solution ...
9. Hashim, I. Adomian decomposition method for solving BVPs for ...
10. He, J.H. Approximation analytical solution for seepage flow with ...
11. Hilfer, R. Applications of fractional calculus in physics, World ...
12. Huang, L., Li, X.F., and Zhao, Y.L. Approximate solution ...
13. Keshavarz, E., Ordokhani, Y., and Razzaghi, M. Bernoulli wavelet ...
38 (2014), 6038–6051. ...
14. Khader, M.M. Numerical treatment for solving fractional Riccati differential ...
15. Li, Y.L. and Sun, N. Numerical solution of fractional ...
16. Ma, X.H. and Huang, C.M. Spectral collocation method for ...
17. Meerschaert, M.M., Benson, D.A., and Bäumer, B. Multidimensional advection ...
18. Mittal, R.C. and Nigam, R. Solution of fractional calculus ...
19. Mokhtary, P. and Ghoreishi, F. The L2-convergence of the ...
20. Mokhtary, P., Ghoreishi, F., and Srivastava, H.M. The Mu ...
21. Nadzharyan, T.A., Sorokin, V.V., and Stepanov, G.V. A fractional ...
22. Nawaz, Y. Variational iteration method and homotopy perturbation method ...
23. Nazari, D.and Shahmorad, S. Application of the fractional differential ...
nonlocal boundary conditions, J. Comput. Appl. Math. 234 (3) (2010), ...
24. Pinkus, A. Density in approximation theory, Surv. Approx. Theory ...
25. Podlubny, I. Fractional differential equation, Academic Press, San Diego, ...
26. Rana, S., Bhattacharya, S., and Pal, J. Paradox of ...
27. Sayevand, K., Fardi, M., and Moradi, E. Convergence analysis ...
28. Sutulo, S. and Soares, C.G. On applicability of mathematical ...
29. Sweilam, N.H., Khader, M.M., and Al-Bar, R.F. Numerical studies ...
30. Wang, J., Xu, T., Wei, Y., and Xie, J. ...
31. Wang, L.F., Ma, Y.P., and Meng, Z.J. Haar wavelet ...
32. Xie, J., Huang, Q., and Zhao, F. Numerical solution ...
33. Xie, J. and Yi, M. Numerical research of nonlinear ...
34. Yang, Y., Chen, Y.P., and Huang, Y.Q. Convergence analysis ...
35. Yi, M.X., Wang, L.F., and Huang, J. Legendre wavelets ...
36. Zhang, X.D., Tang, B., and He, Y.N. Homotopy analysis ...
37. Zhu, L. and Fan, Q.B. Solving fractional nonlinear Fredholm ...

نمایش کامل مراجع