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On fractional differential equations and inclusions with nonlocal and average-valued (integral) boundary conditions - MaRDI portal

On fractional differential equations and inclusions with nonlocal and average-valued (integral) boundary conditions (Q307378)

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scientific article; zbMATH DE number 6621677
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On fractional differential equations and inclusions with nonlocal and average-valued (integral) boundary conditions
scientific article; zbMATH DE number 6621677

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    On fractional differential equations and inclusions with nonlocal and average-valued (integral) boundary conditions (English)
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    1 September 2016
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    By using of fixed point theorems due to O'Regan and Sadovski, the existence of solutions for boundary value problems of fractional differential equations with nonlocal and average-valued (integral) boundary conditions is established in this paper. Moreover, the existence of solutions for the multivalued case (inclusions) is obtained by means of nonlinear alternative for contractive maps.
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    Caputo fractional derivative
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    nonlocal and integral boundary conditions
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    fixed point theorems
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