Existence and uniqueness of periodic solutions for some nonlinear fractional pantograph differential equations with \(\psi\)-Caputo derivative

DOI10.1007/S40065-021-00343-ZzbMath1492.34081OpenAlexW3204451659WikidataQ115375422 ScholiaQ115375422MaRDI QIDQ2053751

Djamal Foukrach, John R. Graef, Soufyane Bouriah, Mouffak Benchohra

Publication date: 30 November 2021

Published in: Arabian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40065-021-00343-z

zbMATH Keywords

existenceuniquenesscoincidence degree theory\(\psi\)-Caputo fractional derivative

Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) Periodic solutions to functional-differential equations (34K13) Functional-differential equations with fractional derivatives (34K37)

Related Items (2)

On the existence and stability analysis for \(\varPsi\)-Caputo fractional boundary value poblem ⋮ On implicit \(k\)-generalized \(\psi\)-Hilfer fractional differential coupled systems with periodic conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the convergence of \(x_n = f(x_ {n-2}, x_{n-1})\) when \(f (x, y) < x\)
• Numerical solution of fractional pantograph differential equations by using generalized fractional-order Bernoulli wavelet
• Topics in fractional differential equations
• Existence of periodic solutions for nonlinear implicit Hadamard's fractional differential equations
• Coincidence degree, and nonlinear differential equations
• A Caputo fractional derivative of a function with respect to another function
• Coupled systems of \(\psi\)-Caputo differential equations with initial conditions in Banach spaces
• Existence and stability results for nonlinear boundary value problem for implicit differential equations of fractional order
• On nonlinear pantograph fractional differential equations with Atangana-Baleanu-Caputo derivative
• Some generalized fractional calculus operators and their applications in integral equations
• Existence of solutions of nonlinear fractional pantograph equations

This page was built for publication: Existence and uniqueness of periodic solutions for some nonlinear fractional pantograph differential equations with \(\psi\)-Caputo derivative