Monotone Iterative Scheme for System of Riemann-Liouville Fractional Differential Equations with Integral Boundary Conditions

J A Nanware,D B Dhaigude

doi:10.1007/978-3-642-28926-2_43

Monotone Iterative Scheme for System of Riemann-Liouville Fractional Differential Equations with Integral Boundary Conditions

J A Nanware, D B Dhaigude

https://doi.org/10.1007/978-3-642-28926-2_43

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Publication Date: Jan 1, 2012

Citations: 7

Affiliation: Dr. Babasaheb Ambedkar Marathwada University

#Integral Boundary Conditions #System Of Fractional Differential Equations + Show 8 more

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Abstract

AbstractMonotone iterative scheme is developed for weakly coupled system of Riemann-Liouville fractional differential equation with integral boundary condition using the method of lower and upper solutions. Two monotone convergent sequences converging to extremal solutions are obtained. Existence and uniqueness of solution of weakly coupled system of Riemann-Liouville fractional differential equations with integral boundary conditions is obtained by applying monotone iterative scheme.KeywordsFractional differential equationIntegral boundary conditionMonotone iterative methodExistence and uniqueness

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