Beam deflection coupled systems of fractional differential equations: existence of solutions, Ulam-Hyers stability and travelling waves

DOI10.1007/s13324-024-00890-6MaRDI QIDQ6127238

Mahdi Rakah, Kamel Bensassa, Zoubir Dahmani, Mehmet Zeki Sarikaya

Publication date: 10 April 2024

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

fixed pointcoupled systemexistence of solutiontravelling wavebeam deflectionCaputo derivativefractional differential equationUlam-Hyers stability

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Systems of functional equations and inequalities (39B72) Fractional ordinary differential equations (34A08)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Positive solutions of fourth order problems with clamped beam boundary conditions
• Existence results for a coupled system of Caputo type sequential fractional differential equations with nonlocal integral boundary conditions
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Existence of solutions for a sequential fractional integro-differential system with coupled integral boundary conditions
• On stability analysis and existence of positive solutions for a general non-linear fractional differential equations
• Numerical analysis of fractional partial differential equations applied to polymeric visco-elastic Euler-Bernoulli beam under quasi-static loads
• Existence of positive solution to the boundary value problems for coupled system of nonlinear fractional differential equations
• Existence results for coupled system of nonlinear differential equations and inclusions involving sequential derivatives of fractional order
• Hyers-Ulam stability for a coupled system of fractional differential equation with \(p\)-Laplacian operator having integral boundary conditions
• A new definition of fractional derivative
• Existence and uniqueness of solutions for a coupled system of nonlinear fractional differential equations with fractional integral boundary conditions
• Hydrodynamic coupling of two sharp-edged beams vibrating in a viscous fluid
• The tanh method: I. Exact solutions of nonlinear evolution and wave equations
• Existence and Hyers-Ulam stability of solutions to a nonlinear implicit coupled system of fractional order
• Existence of solutions to nonlinear fourth-order beam equation
• A system of high-order fractional differential equations with integral boundary conditions
• Existence and stability results for nonlinear fractional integrodifferential coupled systems