Inequalities for Integro-differential equations involving derivatives of order between zero and two

Asma Al-Jaser; Khaled M. Furati

doi:10.1016/j.amc.2013.06.079

Inequalities for Integro-differential equations involving derivatives of order between zero and two

Asma Al-Jaser, Khaled M. Furati^*

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We obtain bounds for integro-differential inequalities involving derivatives of orders between 0 and 2. We give applications and examples demonstrating the use of these bounds in analyzing the existence and asymptotic behavior of solutions for a class of singular fractional differential equations.

Original language	English
Pages (from-to)	535-546
Number of pages	12
Journal	Applied Mathematics and Computation
Volume	221
DOIs	https://doi.org/10.1016/j.amc.2013.06.079
State	Published - 2013

Bibliographical note

Funding Information:
The authors are very grateful for the financial support provided by King Fahd University of Petroleum and Minerals and Princess Nora Bint Abdurrahman University.

Keywords

Bihari inequality
Cauchy-type problem singular differential equations
Fractional differential equations
Riemann-Liouville integral

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/j.amc.2013.06.079

Cite this

@article{cddcec8cd5594c0b81ba8f5d2011c1c0,

title = "Inequalities for Integro-differential equations involving derivatives of order between zero and two",

abstract = "We obtain bounds for integro-differential inequalities involving derivatives of orders between 0 and 2. We give applications and examples demonstrating the use of these bounds in analyzing the existence and asymptotic behavior of solutions for a class of singular fractional differential equations.",

keywords = "Bihari inequality, Cauchy-type problem singular differential equations, Fractional differential equations, Riemann-Liouville integral",

author = "Asma Al-Jaser and Furati, \{Khaled M.\}",

note = "Funding Information: The authors are very grateful for the financial support provided by King Fahd University of Petroleum and Minerals and Princess Nora Bint Abdurrahman University. ",

year = "2013",

doi = "10.1016/j.amc.2013.06.079",

language = "English",

volume = "221",

pages = "535--546",

journal = "Applied Mathematics and Computation",

issn = "0096-3003",

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T1 - Inequalities for Integro-differential equations involving derivatives of order between zero and two

AU - Al-Jaser, Asma

AU - Furati, Khaled M.

N1 - Funding Information: The authors are very grateful for the financial support provided by King Fahd University of Petroleum and Minerals and Princess Nora Bint Abdurrahman University.

PY - 2013

Y1 - 2013

N2 - We obtain bounds for integro-differential inequalities involving derivatives of orders between 0 and 2. We give applications and examples demonstrating the use of these bounds in analyzing the existence and asymptotic behavior of solutions for a class of singular fractional differential equations.

AB - We obtain bounds for integro-differential inequalities involving derivatives of orders between 0 and 2. We give applications and examples demonstrating the use of these bounds in analyzing the existence and asymptotic behavior of solutions for a class of singular fractional differential equations.

KW - Bihari inequality

KW - Cauchy-type problem singular differential equations

KW - Fractional differential equations

KW - Riemann-Liouville integral

UR - https://www.scopus.com/pages/publications/84881123539

U2 - 10.1016/j.amc.2013.06.079

DO - 10.1016/j.amc.2013.06.079

M3 - Article

AN - SCOPUS:84881123539

SN - 0096-3003

VL - 221

SP - 535

EP - 546

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

ER -

Inequalities for Integro-differential equations involving derivatives of order between zero and two

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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