Method of lower - upper solutions of fractional differential equations with initial time difference and applications

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DOI:

https://doi.org/10.26637/MJM0803/0080

Abstract

This paper deals with the method of lower - upper solutions of Riemann-Liouville (R-L)fractional differential equations with initial time difference. Monotone technique coupled with lower - upper solutions of the problem is developed and is successfully applied to obtain existence and uniqueness results with initial time difference.

Keywords:

Lower - Upper Solutions, Monotone technique, Existence and uniqueness, Initial time difference, Fractional differential equations

Mathematics Subject Classification:

Mathematics
  • J.A. Nanware Department of Mathematics, Shrikrishna Mahavidyalaya, Gunjoti, Dist. Osmanabad - 413606, India.
  • B.D. Dawkar Department of Mathematics, Vivekanand Arts, Sardar Dalipsingh Commerce and Science College, Aurangabad(Maharashtra), India.
  • Pages: 1196-1199
  • Date Published: 01-07-2020
  • Vol. 8 No. 03 (2020): Malaya Journal of Matematik (MJM)

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Published

01-07-2020

How to Cite

J.A. Nanware, and B.D. Dawkar. “Method of Lower - Upper Solutions of Fractional Differential Equations With Initial Time Difference and Applications”. Malaya Journal of Matematik, vol. 8, no. 03, July 2020, pp. 1196-9, doi:10.26637/MJM0803/0080.