Monotone iterative method for a class of nonlinear fractional differential equations

By Guotao Wang, Dumitru Băleanu, Lihong Zhang. 2012

51 citations recorded by the source corpus.

By applying the monotone iterative technique and the method of lower and upper solutions, this paper investigates the existence of extremal solutions for a class of nonlinear fractional differential equations, which involve the Riemann-Liouville fractional derivative Dqx(t). A new comparison theorem is also build. At last, an example is given to illustrate our main results.

Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/318544ce9a7b262d54e93886e8327980f1e30311

Citations in the corpus

• SUCCESSIVE ITERATIONS FOR POSITIVE EXTREMAL SOLUTIONS OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS ON A HALF-LINE (2014, unknown): “For more details of the application of this method in fractional di ff erential equations, see [6, 7, 9, 12–15, 18, 22, 23, 25, 27–29, 31, 32].”