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Application of the fixed point theorems on the existence of solutions for q-fractional boundary value problems

1 Department of Mathematics, Azarbaijan Shahid Madani University, Azarshahr, Tabriz, Iran
2 Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece
3 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

Special Issues: Initial and Boundary Value Problems for Differential Equations

In this paper, we study the existence of solutions for nonlinear fractional q-difference equations and inclusions. We apply some known fixed point theorems to prove the existence results. Finally, some illustrative examples are presented to state the validity of our main results.
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Keywords fractional q-difference equation and inclusion; boundary value problem; existence; fixed point theorem

Citation: Sina Etemad, Sotiris K. Ntouyas. Application of the fixed point theorems on the existence of solutions for q-fractional boundary value problems. AIMS Mathematics, 2019, 4(3): 997-1018. doi: 10.3934/math.2019.3.997

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