What is it about?
After establishing a comparison result , apply the monotone iterative technique and lower-upper solution method, we obtain the existence of extremal solutions for a fractional q-difference equation with integral boundary conditions. A comparison theorem under weak conditions is also build, we can construct two iterative schemes approximating the extremal solutions.
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Why is it important?
We give some new sufficient conditions under such fractional q-difference problem have extremal solutions, Our finding show that the existence of solutions need the corresponding comparison theorem for fractional q-difference inequalities. two iterative schemes approximating the extremal solutions are constructed.
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Writing this article was a great pleasure as it has co-authors with my respectful teache. More than anything else, and if nothing else, I hope you find this article thought-provoking.
Ren jing
Writing this article was a great pleasure as it has co-authors with whom I have had long standing collaborations. I hope you find this article thought-provoking.
Chengbo Zhai
Shanxi University
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This page is a summary of: A Fractional q $q$-difference Equation with Integral Boundary Conditions and Comparison Theorem, International Journal of Nonlinear Sciences and Numerical Simulation, December 2017, De Gruyter,
DOI: 10.1515/ijnsns-2017-0056.
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