Neutral functional sequential differential equations with Caputo fractional derivative on time scales

DOI10.1186/S13663-022-00716-9OpenAlexW4214741374WikidataQ115241108 ScholiaQ115241108MaRDI QIDQ2138467

Erdal Karapınar, Nadia Benkhettou, Mouffak Benchohra, Jamal-Eddine Lazreg

Publication date: 12 May 2022

Published in: Fixed Point Theory and Algorithms for Sciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13663-022-00716-9

zbMATH Keywords

existence fixed point initial value problem time scale fractional integral Caputo's fractional derivative sequential neutral functional differential equations

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Fractional ordinary differential equations (34A08)

Related Items (1)

On Cauchy problem for pseudo-parabolic equation with Caputo-Fabrizio operator

Cites Work

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Integral equations on time scales
Topics in fractional differential equations
Affine-periodic solutions for nonlinear dynamic equations on time scales
Analysis on measure chains - a unified approach to continuous and discrete calculus
On the nonexistence of global solutions for a class of fractional integro-differential problems
A survey on Hadamard and Hilfer fractional differential equations: Analysis and stability
Existence and Ulam stability for fractional differential equations of Hilfer-Hadamard type
On the existence and uniqueness of solution of initial value problem for fractional order differential equations on time scales
Theory of translation closedness for time scales. With applications in translation functions and dynamic equations
Uniqueness of solution for higher-order nonlinear fractional differential equations with multi-point and integral boundary conditions
A discussion on the existence of positive solutions of the boundary value problems via $\psi$-Hilfer fractional derivative on $b$-metric spaces
On continuity of the fractional derivative of the time-fractional semilinear pseudo-parabolic systems
Applying new fixed point theorems on fractional and ordinary differential equations
$F$-contraction mappings on metric-like spaces in connection with integral equations on time scales
On the behavior of solutions of fractional differential equations on time scale via Hilfer fractional derivatives
Solutions of the nonlinear integral equation and fractional differential equation using the technique of a fixed point with a numerical experiment in extended $b$-metric space
Inequalities on Time Scales: A Survey
Multivariable Dynamic Calculus on Time Scales
Dynamic Inequalities On Time Scales
New Trends in Nanotechnology and Fractional Calculus Applications
Implicit Fractional Differential and Integral Equations
Fractional Dynamic Calculus and Fractional Dynamic Equations on Time Scales
Functional Dynamic Equations on Time Scales
Basic Theory of Fractional Differential Equations

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