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

Abbas, Saïd; Benchohra, Mouffak

Fractional Calculus and Applied Analysis (2010)

- Volume: 13, Issue: 3, page 225-244
- ISSN: 1311-0454

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topAbbas, 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 -

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