Method of Lower and Upper Solutions for
Differential Equations of Fractional Order with
Integral Boundary Conditions

J. A.Nanware; B.D. Dawka

doi:https://doi.org/10.14445/22315373/IJMTT-V66I10P502

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 66 | Issue 10 | Year 2020 | Article Id. IJMTT-V66I10P502 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I10P502

Method of Lower and Upper Solutions for Differential Equations of Fractional Order with Integral Boundary Conditions

J. A.Nanware, B.D. Dawka

Citation :

J. A.Nanware, B.D. Dawka, "Method of Lower and Upper Solutions for Differential Equations of Fractional Order with Integral Boundary Conditions," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 10, pp. 8-13, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I10P502

Abstract

System of Riemann-Liouville fractional differential equations with integral boundary conditions is considered. Method of lower and upper solutions is developed for system of Riemann-Liouville fractional differential equations with integral boundary conditions. Method is successfully employed to study existence and uniqueness results for the problem.

Keywords

Lower and upper solutions, fractional differential equations, integral boundary conditions, monotone technique, existence and uniqueness.

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