Semi analytical solutions for fractional order singular partial differential equations with variable coefficients

S. Iqbal; Muhammad Rafiq Mufti; Humaira Afzal; S. Sarwar

doi:10.1063/1.5114307

Semi analytical solutions for fractional order singular partial differential equations with variable coefficients

S. Iqbal^*, Muhammad Rafiq Mufti, Humaira Afzal, S. Sarwar

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

2 Scopus citations

Abstract

Optimal homotopy asymptotic method (OHAM), a semi-analytical process is employed, for solving singular partial differential equations of fractional order to authenticate the usefulness and competence of the procedure. It is observed that the designed procedure is simple to implement, pretty important to knob singular phenomenon and capitulate superb results at low computational cost. The fractional derivatives are expressed in Caputo sense. Some examples with singularities are presented to exhibit the potential and practical utility of the method.

Original language	English
Title of host publication	International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2018
Editors	T.E. Simos, T.E. Simos, T.E. Simos, T.E. Simos, Ch. Tsitouras, T.E. Simos
Publisher	American Institute of Physics Inc.
ISBN (Electronic)	9780735418547
DOIs	https://doi.org/10.1063/1.5114307
State	Published - 24 Jul 2019
Externally published	Yes

Publication series

Name	AIP Conference Proceedings
Volume	2116
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Bibliographical note

Publisher Copyright:
© 2019 Author(s).

ASJC Scopus subject areas

General Physics and Astronomy

Access to Document

10.1063/1.5114307

Cite this

Iqbal, S., Mufti, M. R., Afzal, H., & Sarwar, S. (2019). Semi analytical solutions for fractional order singular partial differential equations with variable coefficients. In T. E. Simos, T. E. Simos, T. E. Simos, T. E. Simos, C. Tsitouras, & T. E. Simos (Eds.), International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2018 Article 300007 (AIP Conference Proceedings; Vol. 2116). American Institute of Physics Inc.. https://doi.org/10.1063/1.5114307

Iqbal, S. ; Mufti, Muhammad Rafiq ; Afzal, Humaira et al. / Semi analytical solutions for fractional order singular partial differential equations with variable coefficients. International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2018. editor / T.E. Simos ; T.E. Simos ; T.E. Simos ; T.E. Simos ; Ch. Tsitouras ; T.E. Simos. American Institute of Physics Inc., 2019. (AIP Conference Proceedings).

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abstract = "Optimal homotopy asymptotic method (OHAM), a semi-analytical process is employed, for solving singular partial differential equations of fractional order to authenticate the usefulness and competence of the procedure. It is observed that the designed procedure is simple to implement, pretty important to knob singular phenomenon and capitulate superb results at low computational cost. The fractional derivatives are expressed in Caputo sense. Some examples with singularities are presented to exhibit the potential and practical utility of the method.",

author = "S. Iqbal and Mufti, \{Muhammad Rafiq\} and Humaira Afzal and S. Sarwar",

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language = "English",

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Iqbal, S, Mufti, MR, Afzal, H & Sarwar, S 2019, Semi analytical solutions for fractional order singular partial differential equations with variable coefficients. in TE Simos, TE Simos, TE Simos, TE Simos, C Tsitouras & TE Simos (eds), International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2018., 300007, AIP Conference Proceedings, vol. 2116, American Institute of Physics Inc. https://doi.org/10.1063/1.5114307

Semi analytical solutions for fractional order singular partial differential equations with variable coefficients. / Iqbal, S.; Mufti, Muhammad Rafiq; Afzal, Humaira et al.
International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2018. ed. / T.E. Simos; T.E. Simos; T.E. Simos; T.E. Simos; Ch. Tsitouras; T.E. Simos. American Institute of Physics Inc., 2019. 300007 (AIP Conference Proceedings; Vol. 2116).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Iqbal, S.

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AU - Sarwar, S.

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Y1 - 2019/7/24

N2 - Optimal homotopy asymptotic method (OHAM), a semi-analytical process is employed, for solving singular partial differential equations of fractional order to authenticate the usefulness and competence of the procedure. It is observed that the designed procedure is simple to implement, pretty important to knob singular phenomenon and capitulate superb results at low computational cost. The fractional derivatives are expressed in Caputo sense. Some examples with singularities are presented to exhibit the potential and practical utility of the method.

AB - Optimal homotopy asymptotic method (OHAM), a semi-analytical process is employed, for solving singular partial differential equations of fractional order to authenticate the usefulness and competence of the procedure. It is observed that the designed procedure is simple to implement, pretty important to knob singular phenomenon and capitulate superb results at low computational cost. The fractional derivatives are expressed in Caputo sense. Some examples with singularities are presented to exhibit the potential and practical utility of the method.

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AN - SCOPUS:85069964012

T3 - AIP Conference Proceedings

BT - International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2018

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PB - American Institute of Physics Inc.

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Iqbal S, Mufti MR, Afzal H, Sarwar S. Semi analytical solutions for fractional order singular partial differential equations with variable coefficients. In Simos TE, Simos TE, Simos TE, Simos TE, Tsitouras C, Simos TE, editors, International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2018. American Institute of Physics Inc. 2019. 300007. (AIP Conference Proceedings). doi: 10.1063/1.5114307

Semi analytical solutions for fractional order singular partial differential equations with variable coefficients

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