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Multi-Term Fractional Differential Equations with Generalized Integral Boundary 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(3), 44; https://doi.org/10.3390/fractalfract3030044
Received: 23 July 2019 / Revised: 14 August 2019 / Accepted: 15 August 2019 / Published: 18 August 2019
We discuss the existence of solutions for a Caputo type multi-term nonlinear fractional differential equation supplemented with generalized integral boundary conditions. The modern tools of functional analysis are applied to achieve the desired results. Examples are constructed for illustrating the obtained work. Some new results follow as spacial cases of the ones reported in this paper. View Full-Text
Keywords: Caputo fractional derivative; multi-order fractional differential equations; generalized fractional integral; existence; fixed point Caputo fractional derivative; multi-order fractional differential equations; generalized fractional integral; existence; fixed point
MDPI and ACS Style

Ahmad, B.; Alghanmi, M.; Alsaedi, A.; Ntouyas, S.K. Multi-Term Fractional Differential Equations with Generalized Integral Boundary Conditions. Fractal Fract 2019, 3, 44.

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