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Nonlinear sequential fractional differential equations with nonlocal boundary conditions involving lower-order fractional derivatives

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This paper studies a new class of boundary value problems of sequential fractional differential equations of order q∈(2,3]$q \in(2, 3]$ supplemented with nonlocal non-separated boundary conditions involving lower-order fractional derivatives.… Click to show full abstract

This paper studies a new class of boundary value problems of sequential fractional differential equations of order q∈(2,3]$q \in(2, 3]$ supplemented with nonlocal non-separated boundary conditions involving lower-order fractional derivatives. Existence and uniqueness results for the given problem are obtained by applying standard fixed-point theorems and are illustrated with the aid of examples. Some interesting observations are presented.

Keywords: order; boundary conditions; conditions involving; fractional differential; differential equations; sequential fractional

Journal Title: Advances in Difference Equations
Year Published: 2017

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