# Upper and lower solutions method for partial Hadamard fractional integral equations and inclusions

Saïd Abbas; Eman Alaidarous; Wafaa Albarakati; Mouffak Benchohra

Discussiones Mathematicae, Differential Inclusions, Control and Optimization (2015)

- Volume: 35, Issue: 2, page 105-122
- ISSN: 1509-9407

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topSaïd Abbas, et al. "Upper and lower solutions method for partial Hadamard fractional integral equations and inclusions." Discussiones Mathematicae, Differential Inclusions, Control and Optimization 35.2 (2015): 105-122. <http://eudml.org/doc/276613>.

@article{SaïdAbbas2015,

abstract = {In this paper we use the upper and lower solutions method combined with Schauder's fixed point theorem and a fixed point theorem for condensing multivalued maps due to Martelli to investigate the existence of solutions for some classes of partial Hadamard fractional integral equations and inclusions.},

author = {Saïd Abbas, Eman Alaidarous, Wafaa Albarakati, Mouffak Benchohra},

journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},

keywords = {functional integral equation; integral inclusion; Hadamard partial fractional integral; condensing multivalued map; existence; upper solution; lower solution; fixed point; fractional random differential equation; left-sided mixed Riemann-Liouville integral; Caputo fractional order derivative; Darboux problem; random solution; stability},

language = {eng},

number = {2},

pages = {105-122},

title = {Upper and lower solutions method for partial Hadamard fractional integral equations and inclusions},

url = {http://eudml.org/doc/276613},

volume = {35},

year = {2015},

}

TY - JOUR

AU - Saïd Abbas

AU - Eman Alaidarous

AU - Wafaa Albarakati

AU - Mouffak Benchohra

TI - Upper and lower solutions method for partial Hadamard fractional integral equations and inclusions

JO - Discussiones Mathematicae, Differential Inclusions, Control and Optimization

PY - 2015

VL - 35

IS - 2

SP - 105

EP - 122

AB - In this paper we use the upper and lower solutions method combined with Schauder's fixed point theorem and a fixed point theorem for condensing multivalued maps due to Martelli to investigate the existence of solutions for some classes of partial Hadamard fractional integral equations and inclusions.

LA - eng

KW - functional integral equation; integral inclusion; Hadamard partial fractional integral; condensing multivalued map; existence; upper solution; lower solution; fixed point; fractional random differential equation; left-sided mixed Riemann-Liouville integral; Caputo fractional order derivative; Darboux problem; random solution; stability

UR - http://eudml.org/doc/276613

ER -

## References

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