Separated boundary value problems of sequential Caputo and Hadamard fractional differential equations

DOI10.1155/2018/6974046zbMath1406.34022OpenAlexW2900673459WikidataQ128943304 ScholiaQ128943304MaRDI QIDQ1755700

Asawathep Cuntavepanit, Woraphak Nithiarayaphaks, Sotiris K. Ntouyas, Jessada Tariboon

Publication date: 11 January 2019

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/6974046

zbMATH Keywords

fixed point theoremsexistence and uniquenessseparated boundary value problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Applications of operator theory to differential and integral equations (47N20) Fractional ordinary differential equations (34A08)

Related Items (14)

Nonlinear Sequential Caputo and Caputo-Hadamard Fractional Differential Equations with Dirichlet Boundary Conditions in Banach Spaces ⋮ Existence results for hybrid fractional differential equations with three-point boundary conditions ⋮ Caputo-Hadamard fractional differential equations with nonlocal fractional integro-differential boundary conditions via topological degree theory ⋮ On solutions of fractional multi-term sequential problems via some special categories of functions and (AEP)-property ⋮ An analytical survey on the solutions of the generalized double-order \(\varphi\)-integrodifferential equation ⋮ New sequential fractional differential equations with mixed-type boundary conditions ⋮ Caputo Sequential Fractional Differential Equations with Applications ⋮ Existence and Hyers-Ulam stability of jerk-type Caputo and Hadamard mixed fractional differential equations ⋮ On the lack of equivalence between differential and integral forms of the Caputo-type fractional problems ⋮ On a nonlocal integral boundary value problem of nonlinear Langevin equation with different fractional orders ⋮ Positive solutions for a system of nonlinear Hadamard fractional differential equations involving coupled integral boundary conditions ⋮ Unnamed Item ⋮ Coupled systems of sequential Caputo and Hadamard fractional differential equations with coupled separated boundary conditions ⋮ Topological degree theory and Caputo-Hadamard fractional boundary value problems

Cites Work

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• On Caputo type sequential fractional differential equations with nonlocal integral boundary conditions
• Caputo-type modification of the Hadamard fractional derivatives
• Boundary value problems for Riemann-Liouville fractional differential inclusions with nonlocal Hadamard fractional integral conditions
• Existence results for sequential fractional integro-differential equations with nonlocal multi-point and strip conditions
• Existence and multiplicity of positive solutions for singular fractional boundary value problems
• Sequential fractional differential equations with Hadamard derivative
• Existence results for a coupled system of Caputo type sequential fractional differential equations with nonlocal integral boundary conditions
• Impulsive periodic boundary value problems for fractional differential equation involving Riemann-Liouville sequential fractional derivative
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• On the existence and the uniqueness theorem for fractional differential equations with bounded delay within Caputo derivatives
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Fractional-order differential equations with anti-periodic boundary conditions: a survey
• Existence and uniqueness of solutions to fractional differential equations in the frame of generalized Caputo fractional derivatives
• On higher-order sequential fractional differential inclusions with nonlocal three-point boundary conditions
• Boundary value problems for a class of sequential integrodifferential equations of fractional order
• Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities
• Basic Theory of Fractional Differential Equations
• Existence and uniqueness theorem for a class of delay differential equations with left and right Caputo fractional derivatives

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