A new approach for solving linear fractional integro-differential equations and multi variable order fractional differential equations

• Ghomanjani, Fateme ^[1]
  1. [1] Kashmar Higher Education Institute.
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 39, Nº. 1, 2020, págs. 199-218
• Idioma: inglés
• DOI: 10.22199/issn.0717-6279-2020-01-0013
• Enlaces
  • Texto completo
• Resumen

  • In the sequel, the numerical solution of linear fractional integrodifferential equations (LFIDEs) and multi variable order fractional differential equations (MVOFDEs) are found by Bezier curve method (BCM) and operational matrix. Some numerical examples are stated and utilized to evaluate the good and accurate results.

• Referencias bibliográficas
  • A. H. Bhrawy and M. A. Alghamdi, “A shifted Jacobi-Gauss-Lobatto collocation method for solving nonlinear fractional Langevin equation involving...
  • F. Ghomanjani, M. H. Farahi, and M. Gachpazan, “Bezier control points method to solve constrained quadratic optimal control of time varying...
  • F. Ghomanjani and M. H. Farahi, “The Bezier control points method for solving delay differential equation”, Intelligent control and automation,...
  • F. Ghomanjani and M. Hadifarahi, “Optimal Control of Switched Systems based on Bezier Control Points”, International journal of intelligent...
  • F. Ghomanjani, M. H. Farahi, and A. V. Kamyad, “Numerical solution of some linear optimal control systems with pantograph delays”, IMA journal...
  • F. Ghomanjani, E. Khorram, “Approximate solution for quadratic Riccati differential equation”, Journal of Taibah university for science, vol....
  • F. Ghomanjani, “A new approach for solving fractional differential algebraic equations”, Journal of Taibah university for science, vol. 11,...
  • H. Khalil, R. A. Khan, and M. M. Rashidi, “Brenstien polynomials and applications to fractional differential equations”, Computational methods...
  • D. S. Mohammed, “Numerical solution of fractional integro-differential equations by least squares method and shifted Chebyshev polynomial”,...
  • P. Rahimkhani, Y. Ordokhani, E. Babolian, “Numerical solution of fractional pantograph differential equations by using generalized fractional-order...
  • L. E. S. Ramírez and C. F M. Coimbra, “On the variable order dynamics of the nonlinear wake caused by a sedimenting particle”. Physica D:...
  • H. G. Sun, W. Chen, H. Wei, and Y. Q. Chen, “A comparative study of constant-order and variable-order fractional models in characterizing...
  • L. Zhu and Q. Fan, “Solving fractional nonlinear Fredholm integrodifferential equations by the second kind Chebyshev wavelet”, Communications...
  • M. S. M. Selvi and G. Hariharan, “Wavelet-Based analytical algorithm for solving steady-state concentration in immobilized glucose isomerase...
  • A. K. Gupta and S. S. Ray, “Numerical treatment for the solution of fractional fifth-order Sawada-Kotera equation using second kind Chebyshev...
  • M. H. Heydari, M. R. Hooshmandasl, C. Cattani, and G. Hariharan, “An optimization Wavelet method for multi variable-order fractional differential...