Geodesic
Positive Solution for Fractional $q$-Difference Boundary Value Problems with $\phi$-Laplacian Operator
Bulletin of the Malaysian Mathematical Society, Tome 36 (2013) no. 4
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In this paper, we investigate the existence of at least one positive solution for a class of fractional $q$-difference boundary value problems with $\phi$-Laplacian operator. The arguments mainly rely on the upper and lower solutions method as well as the Schauder's fixed point theorem. Nonlinear term may be singular at $t=0,1$ or $u=0$. Furthermore, two examples are presented to illustrate the main results.
Classification : 39A13, 34B18, 34A08 
@article{BMMS_2013_36_4_a26,
     author = {Wengui Yang},
     title = {Positive {Solution} for {Fractional} $q${-Difference} {Boundary} {Value} {Problems} with $\phi${-Laplacian} {Operator}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2013},
     volume = {36},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2013_36_4_a26/}
}
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Wengui Yang. Positive Solution for Fractional $q$-Difference Boundary Value Problems with $\phi$-Laplacian Operator. Bulletin of the Malaysian Mathematical Society, Tome 36 (2013) no. 4. http://geodesic.mathdoc.fr/item/BMMS_2013_36_4_a26/