On fractional differential inclusions with nonlocal boundary conditions

DOI10.1515/fca-2019-0027zbMath1428.34012OpenAlexW2947216824MaRDI QIDQ2328620

Le Xuan Truong, Charles Castaing, Phan D. Phung, Christiane Godet-Thobie

Publication date: 10 October 2019

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/fca-2019-0027

zbMATH Keywords

Young measuressubdifferential operatorsfractional differential inclusionBolza and relaxation problem

Mathematics Subject Classification ID

Ordinary differential inclusions (34A60) 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)

Related Items

On fractional evolution inclusion coupled with a time and state dependent maximal monotone operator, Second-order problems involving time-dependent subdifferential operators and application to control, Unnamed Item, Unnamed Item, Solvability of fractional differential inclusion with a generalized Caputo derivative, Some results associated to first-order set-valued evolution problems with subdifferentials, Lipschitz perturbation to evolution inclusion driven by time-dependent maximal monotone operators

Cites Work

• Measures of weak noncompactness in Banach spaces
• Convex analysis and measurable multifunctions
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Fuzzy fractional integral equations under compactness type condition
• On a fractional differential inclusion with integral boundary conditions in Banach space
• Some results for fractional boundary value problem of differential inclusions
• Multi-valued contraction mappings in generalized metric spaces
• Young Measures and Compactness in Measure Spaces
• A Class of Absolute Retracts in Spaces of Integrable Functions
• Generalized Gradients and Applications
• Nonlinear functional differential equations of arbitrary orders
• A note on the fractional calculus in Banach spaces
• Set-valued integral equations of fractional-orders
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item