Neutral fractional integro-differential equation with nonlinear term depending on lower order derivative

Authors:
Guotao Wang;Sanyang Liu;Lihong Zhang
Affiliations:
-;-;-
Venue:
Journal of Computational and Applied Mathematics
Year:
2014

Citing 3
Cited 0

Advances in Fractional Calculus: Theoretical Developments and Applications in Physics and Engineering

Advances in Fractional Calculus: Theoretical Developments and Applications in Physics and Engineering
The existence of a solution for a fractional differential equation with nonlinear boundary conditions considered using upper and lower solutions in reverse order

Computers & Mathematics with Applications
Monotone iterative technique for boundary value problems of a nonlinear fractional differential equation with deviating arguments

Journal of Computational and Applied Mathematics

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Abstract

By applying an iterative technique, sufficient conditions are obtained for the existence of the unique solution of the nonlinear neutral fractional integro-differential equation involving two Riemann-Liouville derivatives of different fractional orders. Finally, an example is also given to illustrate the availability of our main results.