Impulsive Partial Hyperbolic Functional Differential Equations of Fractional Order with State-Dependent Delay

Abbas, Saïd, and Benchohra, Mouffak. "Impulsive Partial Hyperbolic Functional Differential Equations of Fractional Order with State-Dependent Delay." Fractional Calculus and Applied Analysis 13.3 (2010): 225-244. <http://eudml.org/doc/219587>.

@article{Abbas2010,
abstract = {MSC 2010: 26A33, 34A37, 34K37, 34K40, 35R11This paper deals with the existence and uniqueness of solutions of two classes of partial impulsive hyperbolic differential equations with fixed time impulses and state-dependent delay involving the Caputo fractional derivative. Our results are obtained upon suitable fixed point theorems.},
author = {Abbas, Saïd, Benchohra, Mouffak},
journal = {Fractional Calculus and Applied Analysis},
keywords = {Impulsive Functional Differential Equations; Fractional Order Differential Equation; Left-Sided Mixed Riemann-Liouville Integral; Caputo Fractional-Order Derivative; State-Dependent Delay; Fixed Point; impulsive functional differential equations; fractional order differential equation; left-sided mixed Riemann-Liouville integral; Caputo fractional-order derivative; state-dependent delay; fixed point},
language = {eng},
number = {3},
pages = {225-244},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Impulsive Partial Hyperbolic Functional Differential Equations of Fractional Order with State-Dependent Delay},
url = {http://eudml.org/doc/219587},
volume = {13},
year = {2010},
}

TY - JOUR
AU - Abbas, Saïd
AU - Benchohra, Mouffak
TI - Impulsive Partial Hyperbolic Functional Differential Equations of Fractional Order with State-Dependent Delay
JO - Fractional Calculus and Applied Analysis
PY - 2010
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 13
IS - 3
SP - 225
EP - 244
AB - MSC 2010: 26A33, 34A37, 34K37, 34K40, 35R11This paper deals with the existence and uniqueness of solutions of two classes of partial impulsive hyperbolic differential equations with fixed time impulses and state-dependent delay involving the Caputo fractional derivative. Our results are obtained upon suitable fixed point theorems.
LA - eng
KW - Impulsive Functional Differential Equations; Fractional Order Differential Equation; Left-Sided Mixed Riemann-Liouville Integral; Caputo Fractional-Order Derivative; State-Dependent Delay; Fixed Point; impulsive functional differential equations; fractional order differential equation; left-sided mixed Riemann-Liouville integral; Caputo fractional-order derivative; state-dependent delay; fixed point
UR - http://eudml.org/doc/219587
ER -