In this work, we investigate the existence of solutions of p-Laplacian fractional differential equations with integral boundary value conditions. Using the five functionals fixed point theorem, the existence of multiple positive solutions is obtained for the boundary value problems. An example is also given to illustrate the effectiveness of our main result.
Keywords: Multiple positive solutions, p-Laplacian, the five functionals fixed point theorem.
Li, Yunhong  1 ; Li, Guogang  1
@article{10_22436_jnsa_009_03_01,
author = {Li, Yunhong and Li, Guogang},
title = {Positive solutions of {p-Laplacian} fractional differential equations with integral boundary value conditions},
journal = {Journal of nonlinear sciences and its applications},
pages = {717-726},
year = {2016},
volume = {9},
number = {3},
doi = {10.22436/jnsa.009.03.01},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.22436/jnsa.009.03.01/}
}
TY - JOUR AU - Li, Yunhong AU - Li, Guogang TI - Positive solutions of p-Laplacian fractional differential equations with integral boundary value conditions JO - Journal of nonlinear sciences and its applications PY - 2016 SP - 717 EP - 726 VL - 9 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.22436/jnsa.009.03.01/ DO - 10.22436/jnsa.009.03.01 LA - en ID - 10_22436_jnsa_009_03_01 ER -
%0 Journal Article %A Li, Yunhong %A Li, Guogang %T Positive solutions of p-Laplacian fractional differential equations with integral boundary value conditions %J Journal of nonlinear sciences and its applications %D 2016 %P 717-726 %V 9 %N 3 %U http://geodesic.mathdoc.fr/articles/10.22436/jnsa.009.03.01/ %R 10.22436/jnsa.009.03.01 %G en %F 10_22436_jnsa_009_03_01
Li, Yunhong; Li, Guogang. Positive solutions of p-Laplacian fractional differential equations with integral boundary value conditions. Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 3, p. 717-726. doi: 10.22436/jnsa.009.03.01
[1] Positive solutions for boundary value problem of fractional differential equation with p-Laplacian operator, Bound. Value Probl., Volume 2012 (2012), pp. 1-20
[2] An anti-periodic boundary value problem for the fractional differential equation with a p-Laplacian operator, Appl. Math. Lett., Volume 25 (2012), pp. 1671-1675
[3] A boundary value problem for fractional differential equation with p-Laplacian operator at resonance, Nonlinear Anal., Volume 75 (2012), pp. 3210-3217
[4] Existence and iteration of positive solutions for third-order Sturm-Liouville boundary value problems with p-Laplacian, Appl. Math. Comput., Volume 266 (2015), pp. 634-641
[5] Multiple solutions for systems of Sturm-Liouville boundary value problems, Mediterr. J. Math., Volume 2015 (2015), pp. 1-16
[6] Multiple positive solutions for some multi-point boundary value problems with p-Laplacian, J. Comput. Appl. Math. , Volume 216 (2008), pp. 144-156
[7] Positive solution for the nonlinear Hadamard type fractional differential equation with p-Laplacian, J. Funct. Spaces Appl., Volume 2013 (2013), pp. 1-10
[8] On the existence of solutions for fractional differential inclusions with sum and integral boundary conditions, Appl. Math. Comput., Volume 266 (2015), pp. 235-243
[9] Fractional differential equations, mathematics in science and engineering, Academic Press, San Diego, CA, 1999
[10] Fractional integrals and derivatives: theory and applications, Gordon and Breach, Switzerland, 1993
[11] Existence and iteration of positive solutions to a class of Sturm-Liouville-like p-Laplacian boundary value problems, Nonlinear Anal., Volume 69 (2008), pp. 1454-1461
[12] Extremal solutions for p-Laplacian fractional integro-differential equation with integral conditions on infinite intervals via iterative computation, Adv. Difference Equ., Volume 2015 (2015), pp. 1-14
[13] Existence of a positive solution for one-dimensional singular p-Laplacian problems and its parameter dependence, J. Math. Anal. Appl., Volume 413 (2014), pp. 566-582
[14] The eigenvalue for a class of singular p-Laplacian fractional differential equations involving the Riemann-Stieltjes integral boundary condition, Appl. Math. Comput., Volume 235 (2014), pp. 412-422
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