Mild and strong solutions for a fractional nonlinear neumann boundary value problem
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Date
2013
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Eudoxus Press, Llc
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Abstract
In this paper, we investigated the following fractional Neumann boundary value problem D-C(0)alpha+u(t) - lambda u(t) = f (t, u(t)), u'(0) = u'(1) = 0, 1 < alpha < 2, lambda not equal 0, where D-C(a+)alpha is the fractional Caputo derivative. We proved the existence of at least one mild solution and we determined when this solution is unique for suitable assumptions on the function f
Description
Herzallah, Mohamed/0000-0003-3514-3709; El-Shahed, Moustafa/0000-0001-9508-3192
Keywords
Fractional Caputo Derivative, Boundary Value Problem, Neumann Conditions, Schauffer Fixed Point Theorem
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Citation
Herzallah, Mohamed A. E.; El-Shahed, Moustafa; Baleanu, Dumitru (2013). "Mild and strong solutions for a fractional nonlinear neumann boundary value problem", Journal of Computational Analysis and Applications, Vol. 15, No. 2, pp. 341-352.
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N/A
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Q4
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Volume
15
Issue
2
Start Page
341
End Page
352