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

Denton Z., Vatsala A.S.

Opuscula Mathematica

2011

Vol. 31, no. 3

327-339

Comparison results of the nonlinear scalar Riemann-Liouville fractional differential equation of order q, 0 < q ≤ 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.

Remarks on first order impulsive ordinary differential equations with anti-periodic boundary conditions

Skóra L.

Fasciculi Mathematici

2005

Nr 36

103-108

The paper deals with the anti-periodic boundary value problem for impulsive ordinary differential equations. The impulsive differential inequalities generated by this problem are considered and a uniqueness criterion is obtained.