Monotone iterative technique for finite systems of nonlinear Riemann-Liouville fractional differential equations | Zendy

Zachary Denton | Zendy; A. S. Vatsala | Zendy

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Monotone iterative technique for finite systems of nonlinear Riemann-Liouville fractional differential equations

Author(s) -

Zachary Denton,

A. S. Vatsala

Publication year - 2011

Publication title -

opuscula mathematica

Language(s) - English

Resource type - Journals

eISSN - 2300-6919

pISSN - 1232-9274

DOI - 10.7494/opmath.2011.31.3.327

Subject(s) - mathematics , monotone polygon , nonlinear system , fractional calculus , mathematical analysis , differential equation , pure mathematics , geometry , physics , quantum mechanics

Comparison results of the nonlinear scalar Riemann-Liouville fractional differential equation of order \(q\), \(0 \lt q \leq 1\), are presented without requiring Hölder continuity assumption. Monotone method is developed for finite systems of fractional differential equations of order \(q\), using coupled upper and lower solutions. Existence of minimal and maximal solutions of the nonlinear fractional differential system is proved

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