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Existence and uniqueness of solutions for p-laplacian fractional order boundary value problems | ||
| Computational Methods for Differential Equations | ||
| مقاله 1، دوره 2، شماره 4، دی 2014، صفحه 205-215 اصل مقاله (130.19 K) | ||
| نوع مقاله: Research Paper | ||
| نویسندگان | ||
| Rahmat Ali Khan* 1؛ Aziz Khan2 | ||
| 1Department of Mathematics, University of Malaknd at Chakdara Dir Lower, Khybar Pakhtunkhwa, Pakistan | ||
| 2University of Peshawar, Pakistan | ||
| چکیده | ||
| In this paper, we study sufficient conditions for existence and uniqueness of solutions of three point boundary vale problem for p-Laplacian fractional order differential equations. We use Schauder's fixed point theorem for existence of solutions and concavity of the operator for uniqueness of solution. We include some examples to show the applicability of our results. | ||
| کلیدواژهها | ||
| Fractional differential equations؛ Three point boundary conditions؛ Fixed point theorems؛ P-Laplacian operator | ||
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