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

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. © 2022, University of Nis. All rights reserved.

Authors
Lakoud A.G. 1 , Ashyralyev A. 2, 3, 4
Journal
Filomat
Publisher
University of Nis
Issue number
1
Language
English
Pages
231-241
State
Published
Link
External link
DOI
10.2298/FIL2201231G
Volume
36
Year
2022
Organizations
  • 1 Laboratory of Advanced Materials, Department of Mathematics, Faculty of Sciences, University Badji Mokhtar-Annaba, PO. Box 12, Annaba, 23000, Algeria
  • 2 Department of Mathematics, Bahcesehir University, Istanbul, 34353, Turkey
  • 3 Peoples’ Friendship University of Russia (RUDN University), Ul Miklukho Maklaya 6, Moscow, 117198, Russian Federation
  • 4 Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
Keywords
Boundary value problem; Coincidence degree of Mawhin; Existence of solution; Fractional derivative; Resonance
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