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Applicable Analysis
An International Journal
Volume 100, 2021 - Issue 2
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Articles

On a class of fractional p(x) -Kirchhoff type problems

E. AzroulFaculty of Sciences Dhar Al Mahraz, Laboratory of Mathematical Analysis and Applications, Sidi Mohamed Ben Abdellah University, Fez, Morocco
,
A. BenkiraneFaculty of Sciences Dhar Al Mahraz, Laboratory of Mathematical Analysis and Applications, Sidi Mohamed Ben Abdellah University, Fez, Morocco
,
M. ShimiFaculty of Sciences Dhar Al Mahraz, Laboratory of Mathematical Analysis and Applications, Sidi Mohamed Ben Abdellah University, Fez, MoroccoCorrespondence[email protected]
&
M. SratiFaculty of Sciences Dhar Al Mahraz, Laboratory of Mathematical Analysis and Applications, Sidi Mohamed Ben Abdellah University, Fez, Morocco
Pages 383-402 | Received 25 Feb 2019, Accepted 31 Mar 2019, Published online: 10 Apr 2019

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A. Ghanmi, N. T. Chung & K. Saoudi. (2023) On some singular problems involving the fractional p(x,.) -Laplace operator. Applicable Analysis 102:1, pages 275-287.
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Elhoussine Azroul, Abdelmoujib Benkirane, Mohammed Shimi & Mohammed Srati. (2023) Embedding and extension results in fractional Musielak–Sobolev spaces. Applicable Analysis 102:1, pages 195-219.
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E. Azroul, A. Benkirane, M. Shimi & M. Srati. (2022) On a class of nonlocal problems in new fractional Musielak-Sobolev spaces. Applicable Analysis 101:6, pages 1933-1952.
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Jiabin Zuo, Alessio Fiscella & Anouar Bahrouni. (2022) Existence and multiplicity results for p(⋅)&q(⋅) fractional Choquard problems with variable order. Complex Variables and Elliptic Equations 67:2, pages 500-516.
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Articles from other publishers (29)

Elhoussine Azroul, Abdelmoujib Benkirane & Mohammed Srati. (2023) Ekeland’s variational principle for a nonlocal p-Kirchhoff type eigenvalue problem. Rendiconti del Circolo Matematico di Palermo Series 2 73:3, pages 1241-1254.
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Mohammed Srati. (2024) Eigenvalue type problem in s(., .)-fractional Musielak–Sobolev spaces. Journal of Elliptic and Parabolic Equations.
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Rym Chammem, Abdeljabbar Ghanmi & Mahfoudh Mechergui. (2024) Existence of Solutions for a Singular Double Phase Kirchhoff Type Problems Involving the Fractional q(x, .)-Laplacian Operator. Complex Analysis and Operator Theory 18:2.
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Mostafa Allaoui, Mohamed Karim Hamdani & Lamine Mbarki. (2023) A degenerate Kirchhoff-type problem involving variable $$s(\cdot )$$-order fractional $$p(\cdot )$$-Laplacian with weights. Periodica Mathematica Hungarica.
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Jamil Chaker & Minhyun Kim. (2023) Local regularity for nonlocal equations with variable exponents. Mathematische Nachrichten 296:9, pages 4463-4489.
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Maryam Mirzapour. (2023) Infinitely Many Solutions for Schrödinger–Kirchhoff-Type Equations Involving the Fractional p(x, ·)-Laplacian. Russian Mathematics 67:8, pages 67-77.
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Zhiwei Hao & Huiqin Zheng. (2023) Existence and multiplicity of solutions for fractional $ p(x) $-Kirchhoff-type problems. Electronic Research Archive 31:6, pages 3309-3321.
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Bin Ge & Shan-Shan Gao. (2023) On a class of fractional $ p(\cdot,\cdot) $-Laplacian equations in the whole space. Discrete and Continuous Dynamical Systems - S 0:0, pages 0-0.
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Mohamed Karim Hamdani, Lamine Mbarki & Mostafa Allaoui. (2023) A new class of multiple nonlocal problems with two parameters and variable-order fractional $ p(\cdot) $-Laplacian. Communications in Analysis and Mechanics 15:3, pages 551-574.
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Ahmed Aberqi, Omar Benslimane, Abdesslam Ouaziz & Dus̆an D. Repovs̆. (2022) On a new fractional Sobolev space with variable exponent on complete manifolds. Boundary Value Problems 2022:1.
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Jiabin Zuo, Debajyoti Choudhuri & Dušan D. Repovš. (2022) Mixed order elliptic problems driven by a singularity, a Choquard type term and a discontinuous power nonlinearity with critical variable exponents. Fractional Calculus and Applied Analysis 25:6, pages 2532-2553.
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Jiabin Zuo, Debajyoti Choudhuri & Dušan D. Repovš. (2022) On critical variable-order Kirchhoff type problems with variable singular exponent. Journal of Mathematical Analysis and Applications 514:1, pages 126264.
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Jiabin Zuo, Tianqing An, Alessio Fiscella & Chungen Liu. (2022) Existence and Multiplicity of Solutions for a Bi-Non-Local Problem. Mathematics 10:12, pages 1973.
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Jinguo Zhang. (2021) Existence results for a Kirchhoff-type equations involving the fractional $$p_{1}(x)$$ & $$p_{2}(x)$$-Laplace operator. Collectanea Mathematica 73:2, pages 271-293.
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Elhoussine Azroul, Abdelmoujib Benkirane, Mohammed Shimi & Mohammed Srati. (2022) Multiple solutions for a binonlocal fractional p(x,·)-Kirchhoff type problem. Journal of Integral Equations and Applications 34:1.
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A. Mokhtari, K. Saoudi & N. T. Chung. (2021) A fractional $$p(x,\cdot )$$-Laplacian problem involving a singular term. Indian Journal of Pure and Applied Mathematics 53:1, pages 100-111.
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Jiabin Zuo, Amita Soni & Debajyoti Choudhuri. (2022) Fractional p(·)-Kirchhoff Type Problems Involving Variable Exponent Logarithmic Nonlinearity. Fractal and Fractional 6:2, pages 106.
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E. Azroul, A. Benkirane, A. Boumazourh & M. Shimi. (2020) Existence Results for Fractional p(x, .)-Laplacian Problem Via the Nehari Manifold Approach. Applied Mathematics & Optimization 84:2, pages 1527-1547.
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Elhoussine Azroul, Abdelmoujib Benkirane & Mohammed Srati. (2021) Eigenvalue problem associated with nonhomogeneous integro-differential operators. Journal of Elliptic and Parabolic Equations 7:1, pages 47-64.
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Elhoussine Azroul, Abdelmoujib Benkirane, Mohammed Srati & Cesar E. Torres Ledesma. (2021) Infinitely many solutions for a nonlocal type problem with sign-changing weight function. Electronic Journal of Differential Equations 2021:01-104, pages 16.
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Haikun Liu & Yongqiang Fu. (2021) Embedding theorems for variable exponent fractional Sobolev spaces and an application. AIMS Mathematics 6:9, pages 9835-9858.
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Elhoussine Azroul, Abdelmoujib Benkirane & and Mohammed Shimi. (2021) On a nonlocal problem involving the fractional $ p(x,.) $-Laplacian satisfying Cerami condition. Discrete & Continuous Dynamical Systems - S 14:10, pages 3479.
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E. Azroul, A. Benkirane, N. T. Chung & M. Shimi. (2021) EXISTENCE RESULTS FOR ANISOTROPIC FRACTIONAL (<i>p</i><sub>1</sub>(<i>x</i>, .), <i>p</i><sub>2</sub>(<i>x</i>, .))-KIRCHHOFF TYPE PROBLEMS. Journal of Applied Analysis & Computation 11:5, pages 2363-2386.
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Rabil Ayazoglu, Yeşim Saraç, S. Şule Şener & Gülizar Alisoy. (2020) Existence and multiplicity of solutions for a Schrödinger–Kirchhoff type equation involving the fractional $$p\left( .,.\right)$$-Laplacian operator in $${\mathbb {R}}^{N}$$. Collectanea Mathematica 72:1, pages 129-156.
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M. K. Hamdani, J. Zuo, N. T. Chung & D. D. Repovš. (2020) Multiplicity of solutions for a class of fractional $p(x,\cdot )$-Kirchhoff-type problems without the Ambrosetti–Rabinowitz condition. Boundary Value Problems 2020:1.
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Reshmi Biswas & Sweta Tiwari. (2020) Nehari manifold approach for fractional p(.)-Laplacian system involving concave-convex nonlinearities. Electronic Journal of Differential Equations 2020:01-132, pages 98.
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Elhoussine Azroul, Abdelmoujib Benkirane & Mohammed Srati. (2020) Nonlocal eigenvalue type problem in fractional Orlicz-Sobolev space. Advances in Operator Theory 5:4, pages 1599-1617.
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Elhoussine Azroul, Abdelmoujib Benkirane & Mohammed Shimi. (2020) General fractional Sobolev space with variable exponent and applications to nonlocal problems. Advances in Operator Theory 5:4, pages 1512-1540.
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Athmane BoumazourhMohammed Srati. (2020) Leray-Schauder’s solution for a nonlocal problem in a fractional Orlicz-Sobolev space. Moroccan Journal of Pure and Applied Analysis 6:1, pages 42-52.
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