On the nonexistence of global solutions for a class of fractional integro-differential problems

DOI10.1186/s13662-017-1105-6zbMath1422.34013OpenAlexW2590882710WikidataQ59520279 ScholiaQ59520279MaRDI QIDQ1628561

Ahmad M. Ahmad, Khaled M. Furati, Nasser-eddine Tatar

Publication date: 4 December 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-017-1105-6

zbMATH Keywords

nonexistenceglobal solutionRiemann-Liouville fractional derivativenonlocal sourcefractional integro-differential equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Fractional derivatives and integrals (26A33) Fractional ordinary differential equations (34A08) Functional-differential equations with fractional derivatives (34K37)

Related Items (6)

Neutral functional sequential differential equations with Caputo fractional derivative on time scales ⋮ Unnamed Item ⋮ Some inequalities on multi-functions for applying in the fractional Caputo-Hadamard jerk inclusion system ⋮ Nonexistence results for a system of nonlinear fractional integrodifferential equations ⋮ Non-existence of global solutions for a fractional integro-differential problem with a convolution kernel ⋮ On integral solutions for a class of mixed Volterra-Fredholm integro differential equations with Caputo fractional derivatives

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlocal impulsive fractional differential inclusions with fractional sectorial operators on Banach spaces
• Existence and uniqueness for a problem involving hilfer fractional derivative
• Nonlinear impulsive problems for fractional differential equations and Ulam stability
• Blow-up solutions of nonlinear Volterra integro-differential equations
• On a differential equation involving Hilfer-Hadamard fractional derivative
• Semilinear Volterra integrodifferential problems with fractional derivatives in the nonlinearities
• The profile of blowing-up solutions to a nonlinear system of fractional differential equations
• Existence results for an evolution problem with fractional nonlocal conditions
• A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions
• A survey on semilinear differential equations and inclusions involving Riemann-Liouville fractional derivative
• Existence of solutions for integro-differential equations of fractional order with nonlocal three-point fractional boundary conditions
• Anlogue realizations of fractional-order controllers.
• On the concept and existence of solutions for fractional impulsive systems with Hadamard derivatives
• Global existence and asymptotic behavior for a fractional differential equation
• Non-existence for fractionally damped fractional differential problems
• An equation whose Fujita critical exponent is not given by scaling
• Nonexistence results for a fractional problem arising in thermal diffusion in fractal media
• Nonexistence of solutions to a hyperbolic equation with a time fractional damping
• On the nonexistence of blowing-up solutions to a fractional functional-differential equation
• Collocation Methods for Volterra Integral and Related Functional Differential Equations

This page was built for publication: On the nonexistence of global solutions for a class of fractional integro-differential problems