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A Novel Method for Solutions of Fourth-Order Fractional Boundary Value Problems
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Fractional Differential Equation Involving Mixed Nonlinearities with Nonlocal Multi-Point and Riemann-Stieltjes Integral-Multi-Strip Conditions

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Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
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Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece
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Author to whom correspondence should be addressed.
Fractal Fract 2019, 3(2), 34; https://doi.org/10.3390/fractalfract3020034
Received: 31 May 2019 / Revised: 15 June 2019 / Accepted: 18 June 2019 / Published: 21 June 2019
In this paper, we investigate a new class of boundary value problems involving fractional differential equations with mixed nonlinearities, and nonlocal multi-point and Riemann–Stieltjes integral-multi-strip boundary conditions. Based on the standard tools of the fixed point theory, we obtain some existence and uniqueness results for the problem at hand, which are well illustrated with the aid of examples. Our results are not only in the given configuration but also yield several new results as special cases. Some variants of the given problem are also discussed. View Full-Text
Keywords: fractional differential equation; mixed nonlinearities; multi-point; integral boundary conditions; existence; fixed point fractional differential equation; mixed nonlinearities; multi-point; integral boundary conditions; existence; fixed point
MDPI and ACS Style

Ahmad, B.; Alsaedi, A.; Salem, S.; Ntouyas, S.K. Fractional Differential Equation Involving Mixed Nonlinearities with Nonlocal Multi-Point and Riemann-Stieltjes Integral-Multi-Strip Conditions. Fractal Fract 2019, 3, 34.

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