Existence and Uniqueness of Solutions for System of Nonlinear Fractional Reaction Diffusion Equations

Authors

  • Pandurang D. Kundgar Department of PG Studies and Research in Mathematics,Shrikrishana Mahavidyalaya, Gunjoti, Dist.Osmanabad-413606.India
  • Jagdish A. Nanware Department of PG Studies and Research in Mathematics,Shrikrishana Mahavidyalaya, Gunjoti, Dist.Osmanabad-413606.India

DOI:

https://doi.org/10.23755/rm.v51i0.1556

Keywords:

Riemann-Liouville fractional derivative, Eigenfunction, Coupled lower and upper solutions, Monotone method.

Abstract

In this paper, to develop monotone method for non-linear system of Riemann-Liouville (R-L) reaction-diffusion equations with initial and boundary conditions. The monotone method yields monotone sequences which converges uniformly and monotonically to minimal and maximal solutions.To investigate the existence and uniqueness of solutions by  monotone method for R-L reaction-diffusion equations with initial and boundary conditions.

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Published

2024-04-12

Issue

Vol. 51 (2024)

Section

Volume 51-2024

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