Nonlocal initial and boundary value problems via fractional calculus with exponential singular kernel

DOI10.22436/jnsa.011.09.01zbMath1438.34048OpenAlexW2808885240WikidataQ115496084 ScholiaQ115496084MaRDI QIDQ5225440

Jessada Tariboon, Chalong Sawaddee, Sotiris K. Ntouyas

Publication date: 22 July 2019

Published in: Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22436/jnsa.011.09.01

zbMATH Keywords

fixed point theoremsnonlocal boundary value problemsexponential fractional derivativeexponential fractional integralnonlocal initial value problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) 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

Impulsive boundary value problems containing Caputo fractional derivative of a function with respect to another function ⋮ Impulsive \(\Psi \)-Caputo hybrid fractional differential equations with non-local conditions

Cites Work

• Nonlocal boundary value problems for Riemann-Liouville fractional differential inclusions with Hadamard fractional integral boundary conditions
• New existence results for nonlinear fractional differential equations with three-point integral boundary conditions
• Fractional functional differential equations with causal operators in Banach spaces
• On four-point nonlocal boundary value problems of nonlinear integro-differential equations of fractional order
• Fractional integral problems for fractional differential equations via Caputo derivative
• Existence of fractional neutral functional differential equations
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Boundary value problems with four orders of Riemann-Liouville fractional derivatives
• Existence of fractional differential equations
• Nonlinear functional differential equations of arbitrary 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