Mild solutions of a class of conformable fractional differential equations with nonlocal conditions

DOI10.1007/s10255-022-1015-6zbMath1520.34061OpenAlexW4366402524MaRDI QIDQ6100420

Mohamed Bouaouid

Publication date: 12 May 2023

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-022-1015-6

zbMATH Keywords

fractional partial differential equationsnonlocal conditionsfractional derivatives and integralscosine family of linear operators

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Applications of operator theory to differential and integral equations (47N20) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On conformable fractional calculus
• Fractional Newton mechanics with conformable fractional derivative
• Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem
• 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
• Exponential decay of solutions of semilinear parabolic equations with nonlocal initial conditions
• The one-dimensional heat equation with a nonlocal initial condition
• General conformable fractional derivative and its physical interpretation
• Solvability of some two-point fractional boundary value problems under barrier strip conditions
• Basic theory of initial value problems of conformable fractional differential equations
• Sequential evolution conformable differential equations of second order with nonlocal condition
• Conformable derivative: application to non-Darcian flow in low-permeability porous media
• Integral solutions of nondense impulsive conformable-fractional differential equations with nonlocal condition
• Solution of singular one-dimensional Boussinesq equation by using double conformable Laplace decomposition method
• Periodic boundary value problem involving sequential fractional derivatives in Banach space
• On an initial inverse problem for a diffusion equation with a conformable derivative
• Conformable derivative approach to anomalous diffusion
• On the existence of mild solutions for nonlocal differential equations of the second order with conformable fractional derivative
• Nonlocal conformable-fractional differential equations with a measure of noncompactness in Banach spaces
• Existence of mild solutions for conformable fractional differential equations with nonlocal conditions
• Improvement on conformable fractional derivative and its applications in fractional differential equations
• Dual conformable derivative: definition, simple properties and perspectives for applications
• A new definition of fractional derivative
• Nonlocal conformable fractional Cauchy problem with sectorial operator
• A note on conformable double Laplace transform and singular conformable pseudoparabolic equations
• Nonlocal telegraph equation in frame of the conformable time-fractional derivative
• Cosine families and abstract nonlinear second order differential equations
• Controllability of conformable differential systems

This page was built for publication: Mild solutions of a class of conformable fractional differential equations with nonlocal conditions