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Existence of Solutions of Nonlinear and Non-local Fractional Boundary Value Problems

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In this paper, we establish new results for non-local boundary value problems. In particular, we study a fractional differential equation where the associated integral equation has a kernel that is… Click to show full abstract

In this paper, we establish new results for non-local boundary value problems. In particular, we study a fractional differential equation where the associated integral equation has a kernel that is not bounded above and changes its sign, so that, the positive sign of the possible solutions is generally not ensured. We provide some examples which support the theory and illustrate the applicability of the obtained results.

Keywords: existence solutions; boundary value; solutions nonlinear; non local; value problems

Journal Title: Mediterranean Journal of Mathematics
Year Published: 2019

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