Solving Fractional Delay Integro-Differential Equations by Chebyshev Wavelets

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2021 by IJMTT Journal
Volume-67 Issue-7
Year of Publication : 2021
Authors : S. C. Shiralashetti, B. S. Hoogar
  10.14445/22315373/IJMTT-V67I7P519

MLA

MLA Style: S. C. Shiralashetti, B. S. Hoogar "Solving Fractional Delay Integro-Differential Equations by Chebyshev Wavelets" International Journal of Mathematics Trends and Technology 67.7 (2021):158-168. 

APA Style: S. C. Shiralashetti, B. S. Hoogar(2021). Solving Fractional Delay Integro-Differential Equations by Chebyshev Wavelets International Journal of Mathematics Trends and Technology, 158-168.

Abstract
In this article, an efficient numerical technique based on second kind Chebyshev wavelets is proposed to solve a class of fractional delay integro-differential equations. The operational matrix of fractional integration is used to convert the equation under investigation into a system of algebraic equations which can be solved easily. Illustrative examples are included to demonstrate the high accuracy and applicability of the method. In addition, the numerical results are compared with exact solutions and other existing methods confirm that present technique is more efficient.

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Keywords : Fractional calculus; Chebyshev wavelets; Delay Fredholm integro-differential equations; Numerical solution.