Existence and Extremal Solution of Boundary Value Problem for Nonlinear Hybrid Fractional Differential Equation in Banach Algebras

Authors

  • B.D. Karande Maharashtra Udayagiri Mahavidyalaya Udgir , India
  • Pravin M. More B.S.S.ASC College Makni, India

DOI:

https://doi.org/10.3126/njmathsci.v1i0.34156

Keywords:

Banach algebra, Bybrid fixed point theorem, Existence result, Locally attractive solution, Extremal solution

Abstract

In this work we study the existence and extremal solution for the boundary value problem of the nonlinear hybrid fractional differential equation by using hybrid fixed point theorem in Banach Algebra due to Dhage’s theorem.

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Author Biographies

B.D. Karande, Maharashtra Udayagiri Mahavidyalaya Udgir , India

Department of Mathematics

Pravin M. More, B.S.S.ASC College Makni, India

Department of Mathematics

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Published

2020-10-31

How to Cite

Karande, B., & More, P. M. (2020). Existence and Extremal Solution of Boundary Value Problem for Nonlinear Hybrid Fractional Differential Equation in Banach Algebras. Nepal Journal of Mathematical Sciences, 1, 23–32. https://doi.org/10.3126/njmathsci.v1i0.34156

Issue

Vol. 1 (2020)

Section

Articles

License

© School of Mathematical Sciences, Tribhuvan University