Study of fractional integro‐differential equations under Caputo‐Fabrizio derivative

DOI10.1002/MMA.7477OpenAlexW3161422844MaRDI QIDQ6087642

Rozi Gul, Kamal Shah

Publication date: 12 December 2023

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

Full work available at URL: https://doi.org/10.1002/mma.7477

zbMATH Keywords

fixed point theoremsfractional integro-differential equationsCaputo-Fabrizo derivative

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Fractional derivatives and integrals (26A33) Fixed-point theorems (47H10) Applications of operator theory to differential and integral equations (47N20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Topics in fractional differential equations
• Comparing the Atangana-Baleanu and Caputo-Fabrizio derivative with fractional order: Allen Cahn model
• 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
• Symmetries of integro-differential equations. With applications in mechanics and plasma physics
• On the Hyers-Ulam stability of the functional equations that have the quadratic property
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Krasnoselskii's fixed point theorem and stability
• A new method for investigating approximate solutions of some fractional integro-differential equations involving the Caputo-Fabrizio derivative
• Fractional operators with exponential kernels and a Lyapunov type inequality
• A novel method for a fractional derivative with non-local and non-singular kernel
• Measure of noncompactness and fractional integro-differential equations with state-dependent nonlocal conditions in Fréchet spaces
• New results on existence in the framework of Atangana-Baleanu derivative for fractional integro-differential equations
• Crank-Nicholson difference method and reproducing kernel function for third order fractional differential equations in the sense of Atangana-Baleanu Caputo derivative
• Hyers-Ulam stability of linear differential equations of first order. II
• Solution of boundary value problems for integro-differential equations by using differential transform method
• Regularity theory for fully nonlinear integro-differential equations
• On the Stability of the Linear Mapping in Banach Spaces
• Solutions of the linear and nonlinear differential equations within the generalized fractional derivatives
• Advances on Fractional Inequalities

This page was built for publication: Study of fractional integro‐differential equations under Caputo‐Fabrizio derivative