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Solution of Third Order Fractional Boundary Value Problems by Using Greens Function Method |
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PP: 57-67 |
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doi:10.18576/pfda/120104
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Author(s) |
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Mazin Aljazzazi,
Shaher Momani,
Ahmed Bouchenak,
Mohammed Al-Smadi,
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Abstract |
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| In this paper, we investigate a solution for certain third order non-homogeneous fractional boundary value problem associated with a fractional boundary condition. To such given problem we construct a Green’s function of a fractional order that corresponds to the given problem and provide direct solutions in details. Moreover, we introduce the fractional Leibniz integralrule and discuss several Green’s function properties. As an application to this theory, we provide some fractional boundary value problems and obtain their exact solution. |
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