Nonlocal conformable-fractional differential equations with a measure of noncompactness in Banach spaces

DOI10.1155/2020/5615080zbMath1453.34003OpenAlexW3008992106MaRDI QIDQ2176060

Khalid Hilal, Mohamed Bouaouid, Mohamed Hannabou

Publication date: 30 April 2020

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

Full work available at URL: https://doi.org/10.1155/2020/5615080

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Fixed-point and coincidence theorems (topological aspects) (54H25) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Related Items (11)

Periodic boundary value problem involving sequential fractional derivatives in Banach space ⋮ A class of nonlocal impulsive differential equations with conformable fractional derivative ⋮ Uniqueness and Ulam-Hyers-Mittag-Leffler stability results for the delayed fractional multiterm differential equation involving the \(\Phi\)-Caputo fractional derivative ⋮ On the existence of mild solutions for nonlocal differential equations of the second order with conformable fractional derivative ⋮ Sobolev-type nonlocal conformable stochastic differential equations ⋮ Mild solutions of a class of conformable fractional differential equations with nonlocal conditions ⋮ Controllability of mild solution of nonlocal conformable fractional differential equations ⋮ Existence and Uniqueness of Solutions for a Second-Order Iterative Fractional Conformable Boundary Value Problem ⋮ Existence and uniqueness of mild solutions to impulsive nonlocal Cauchy problems ⋮ Invariant analysis, analytical solutions, and conservation laws for two-dimensional time fractional Fokker-Planck equation ⋮ Integral solutions of nondense impulsive conformable-fractional differential equations with nonlocal condition

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Monotone iterative technique for a class of semilinear evolution equations with nonlocal conditions
• On conformable fractional calculus
• Fractional Newton mechanics with conformable fractional derivative
• Semigroups of linear operators and applications to partial differential equations
• Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem
• Exponential decay of solutions of semilinear parabolic equations with nonlocal initial conditions
• The one-dimensional heat equation with a nonlocal initial condition
• A blowup alternative result for fractional nonautonomous evolution equation of Volterra type
• General conformable fractional derivative and its physical interpretation
• Approximation technique for fractional evolution equations with nonlocal integral conditions
• Solution of singular one-dimensional Boussinesq equation by using double conformable Laplace decomposition method
• On an initial inverse problem for a diffusion equation with a conformable derivative
• A new definition of fractional derivative
• Fractional non-autonomous evolution equation with nonlocal conditions
• Approximate controllability of non-autonomous evolution system with nonlocal conditions
• Nonlocal conformable fractional Cauchy problem with sectorial operator
• Non-autonomous parabolic evolution equations with non-instantaneous impulses governed by noncompact evolution families
• Study on fractional non-autonomous evolution equations with delay
• Nonlocal telegraph equation in frame of the conformable time-fractional derivative
• On the behaviour of measures of noncompactness with respect to differentiation and integration of vector-valued functions

This page was built for publication: Nonlocal conformable-fractional differential equations with a measure of noncompactness in Banach spaces