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Application of New Iterative Method to Fractional Order Integro-Differential Equations

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Abstract

In this article, we consider the general class of fractional Volterra order integro-differential equations with Caputo derivative. For simulation of FIDE’s, we used new iterative method. We discussed some numerical examples to exhibit the competence of NIM. Results obtained by the proposed method are compared with Trigonometric Transform Method, optimal homotopy auxiliary function method, and Perturbed Least Square Method (PLM). Results show that the present technique is more reliable, rapidly convergent, and easy to implement.

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Authors and Affiliations

  1. Department of Mathematics, Abdul Wali Khan University Mardan, Mardan, Kyber Pakhtunkhwa, Pakistan

    Rashid Nawaz, Samreen Farid & Muhammad Ayaz

  2. Department of Basic Sciences, University of Engineering and Technology, Peshawar, Khyber Pakhtunkhwa, 25000, Pakistan

    Hijaz Ahmad

  3. Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39, 00186, Rome, Italy

    Hijaz Ahmad

Authors
  1. Rashid Nawaz
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  2. Samreen Farid
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  3. Muhammad Ayaz
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  4. Hijaz Ahmad
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Correspondence to Hijaz Ahmad.

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Nawaz, R., Farid, S., Ayaz, M. et al. Application of New Iterative Method to Fractional Order Integro-Differential Equations. Int. J. Appl. Comput. Math 7, 220 (2021). https://doi.org/10.1007/s40819-021-01155-7

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