Extremal solutions for p-Laplacian fractional integro-differential equation with integral conditions on infinite intervals via iterative computation

作者：Wang, Ying; Liu, Lishan^*; Wu, Yonghong

来源：Advances in Difference Equations, 2015, 2015(1): 24.

DOI：10.1186/s13662-015-0358-1

• extremal solutions
• monotone iterative method
• fractional differential equation
• p-Laplacian operator
• infinite intervals

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.

• 出版日期2015-1-30
• 单位曲阜师范大学