Existence Results for Hilfer Fractional Differential Equations with Variable Coefficient
Keyword(s):
The aim of this paper is to establish the existence and uniqueness results for differential equations of Hilfer-type fractional order with variable coefficient. Firstly, we establish the equivalent Volterra integral equation to an initial value problem for a class of nonlinear fractional differential equations involving Hilfer fractional derivative. Secondly, we obtain the existence and uniqueness results for a class of Hilfer fractional differential equations with variable coefficient. We verify our results by providing two examples.
2015 ◽
Vol 2015
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pp. 1-9
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2013 ◽
Vol 21
(3)
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pp. 33-42
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2013 ◽
Vol 43
(1-2)
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pp. 295-306
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