Extremal solutions for p-Laplacian fractional integro-differential equation with integral conditions on infinite intervals via iterative computation
Wu, Yong Hong
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Wang, Y. and Liu, L. and Wu, Y.H. 2015. Extremal solutions for p-Laplacian fractional integro-differential equation with integral conditions on infinite intervals via iterative computation. Advances in Difference Equations. 2015: 24 (14 p.).
Advances in Difference Equations
Department of Mathematics and Statistics
This open access article is distributed under the Creative Commons license http://creativecommons.org/licenses/by/4.0/
We study the extremal solutions of a class of fractional integro-differential equation with integral conditions on infinite intervals involving the p-Laplacian operator. By means of the monotone iterative technique and combining with suitable conditions, the existence of the maximal and minimal solutions to the fractional differential equation is obtained. In addition, we establish iterative schemes for approximating the solutions, which start from the known simple linear functions. Finally, an example is given to confirm our main results.
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