Existence and Ulam's type stability results for a class of fractional boundary value problems on a star graph

DOI10.1002/mma.6516zbMath1457.34021OpenAlexW3030114931MaRDI QIDQ5136846

Wenbin Liu, Wei Zhang

Publication date: 30 November 2020

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.6516

zbMATH Keywords

existence and uniquenessfractional boundary value problemUlam stabilitydifferential equation on graphs

Mathematics Subject Classification ID

Perturbations of ordinary differential equations (34D10) Applications of operator theory to differential and integral equations (47N20) Boundary value problems on graphs and networks for ordinary differential equations (34B45) Fractional ordinary differential equations (34A08)

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On the novel existence results of solutions for a class of fractional boundary value problems on the cyclohexane graph ⋮ The existence, uniqueness, and stability results for a nonlinear coupled system using \(\psi\)-Caputo fractional derivatives ⋮ Existence and uniqueness results for fractional Langevin equations on a star graph ⋮ Optimal control of a fractional diffusion Sturm-Liouville problem on a star graph ⋮ Existence results and stability analysis for a nonlinear fractional boundary value problem on a circular ring with an attached edge: a study of fractional calculus on metric graph ⋮ Existence results and Ulam type stability for conformable fractional oscillating system with pure delay

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