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

J.A. Nanware 1 * and B.D. Dawkar 2

doi:10.26637/MJM0803/0080

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

Authors :

J.A. Nanware ^{1 *} and B.D. Dawkar ²

Author Address :

¹ Department of Mathematics, Shrikrishna Mahavidyalaya, Gunjoti, Dist. Osmanabad - 413606, India.
²Department of Mathematics, Vivekanand Arts, Sardar Dalipsingh Commerce and Science College, Aurangabad(Maharashtra), India.

*Corresponding author.

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.

DOI :

10.26637/MJM0803/0080

Article Info :

Received : March 24, 2020; Accepted : July 12, 2020.