Existence and attractivity results for ѱ-Hilfer hybrid fractional differential equations

DOI10.4067/S0719-06462021000100145zbMath1468.34006WikidataQ115217386 ScholiaQ115217386MaRDI QIDQ4988911

Fatima Si Bachir, Maamar Benbachir, Saïd Abbas, Gaston Mandata N'Guérékata, Mouffak Benchohra

Publication date: 20 May 2021

Published in: Cubo (Temuco) (Search for Journal in Brave)

zbMATH Keywords

Schauder fixed-point theoremuniformly locally attractive\(\psi\)-Hilfer fractional derivate

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Applications of operator theory to differential and integral equations (47N20) Fractional ordinary differential equations (34A08)

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Cites Work

• Existence and stability of nonlinear, fractional order Riemann-Liouville Volterra-Stieltjes multi-delay integral equations
• Existence and attractivity results for some fractional order partial integro-differential equations with delay
• Theory of fractional hybrid differential equations
• Basic results on hybrid differential equations
• Basic theory of fractional differential equations
• General uniqueness and monotone iterative technique for fractional differential equations
• Fractional dynamics. Applications of fractional calculus to dynamics of particles, fields and media
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• The existence of solutions for boundary value problem of fractional hybrid differential equations
• The \(\psi\)-Hilfer fractional calculus of variable order and its applications
• A Caputo fractional derivative of a function with respect to another function
• On the \(\psi\)-Hilfer fractional derivative
• Integral equations and stability of feedback systems
• Existence and attractivity results for Hilfer fractional differential equations
• On the \(\Psi \)-fractional integral and applications
• On the nonlinear \(varPsi\)-Hilfer fractional differential equations
• Advanced functional evolution equations and inclusions
• A nonlocal hybrid boundary value problem of Caputo fractional integro-differential equations
• Basic Theory of Fractional Differential Equations
• On the impulsive implicit Ψ‐Hilfer fractional differential equations with delay
• Basic Theory of Fractional Differential Equations
• Global attractivity of solutions for nonlinear fractional order Riemann-Liouville Volterra-Stieltjes partial integral equations
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