Existence of Solutions for Weighted p(t)-Laplacian Mixed Caputo Fractional Differential Equations at Resonance


Lakoud A.G. Ashyralyev A.
2022University of Nis

Filomat
2022#36Issue 1231 - 241 pp.

Using Mawhin’s coincidence degree theory, we investigate the existence of solutions for a class of weighted p(t)−Laplacian boundary value problems at resonance and involving left and right Caputo fractional derivatives. An example is provided to illustrate the main existence results.

Boundary value problem , Coincidence degree of Mawhin , Existence of solution , Fractional derivative , Resonance

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Laboratory of Advanced Materials, Department of Mathematics, Faculty of Sciences, University Badji Mokhtar-Annaba, PO. Box 12, Annaba, 23000, Algeria
Department of Mathematics, Bahcesehir University, Istanbul, 34353, Turkey
Peoples’ Friendship University of Russia (RUDN University), Ul Miklukho Maklaya 6, Moscow, 117198, Russian Federation
Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan

Laboratory of Advanced Materials
Department of Mathematics
Peoples’ Friendship University of Russia (RUDN University)
Institute of Mathematics and Mathematical Modeling

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