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Iterative approximation of positive solutions for fractional boundary value problem on the half-line

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In this paper, an iterative method is applied to solve some p-Laplacian boundary value problem involving Riemann-Liouville fractional derivative operator. More precisely, we establish the existence of two positive solutions.… Click to show full abstract

In this paper, an iterative method is applied to solve some p-Laplacian boundary value problem involving Riemann-Liouville fractional derivative operator. More precisely, we establish the existence of two positive solutions. Moreover, we prove that these solutions are one maximal and the other is minimal. An example is presented to illustrate our main result. Finally, a numerical method to solve this problem is given.

Keywords: positive solutions; value problem; boundary value; problem; iterative approximation

Journal Title: Filomat
Year Published: 2018

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