Iterative solution of quadratic fractional integral equation involving generalized Mittag Leffler function

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Abstract


The present paper verifies and validates the factual and estimated outcomes of a certain quadratic fractional
integral equation involving the generalized Mittag-Leffler function via algorithm that representatively embodies
successive estimations under fragile partial fractional Lipschitz and compactness type circumstances. The
paper also validate the existence and convergence of a nonlinear quadratic fractional integral equation with the
generlized Mittag Leffler function which is the generalization of Mittag-Leffler function, on a closed and bounded
interval of the real line with the help of some conditions.

Keywords:

Quadratic fractional integral equation, Fractional derivatives and Integrals.

Mathematics Subject Classification:

Mathematics
  • SAYYED JALIL Department of Mathematics , Hutatma Jaywantrao Patil Mahavidayalya, Himayatnagar, Nanded, M.S., India.
  • Mohammed Mazhar Ul Haque Department of Mathematics, Gramin College of Engineering, Vishnupuri, Nanded, Maharashtra, India.
  • Md. Indraman Khan Department of Mathematics, PETTIGREW College, Ukhrul, Manipur University, Manipur, India
  • Pages: 57-63
  • Date Published: 01-01-2021
  • Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)

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01-01-2021

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SAYYED JALIL, Mohammed Mazhar Ul Haque, and Md. Indraman Khan. “Iterative Solution of Quadratic Fractional Integral Equation Involving Generalized Mittag Leffler Function”. Malaya Journal of Matematik, vol. 9, no. 01, Jan. 2021, pp. 57-63, https://www.malayajournal.org/index.php/mjm/article/view/968.

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Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)

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