A Parabolic Transform and Averaging Methods for General Partial Differential Equations

Authors

  • Mahmoud Mohammed Mostafa El-Borai Alexandria University
  • Hamed Kamal Awad Awad Damanhour University
  • Randa Hamdy. M. Ali Ali Damanhour University

DOI:

https://doi.org/10.24297/jam.v17i0.8481

Keywords:

Averaging Method, Parabolic Partial Differential Equation, Fractional Partial Di Erential Equation, Parabolic Transform, Existence And Uniqueness of Solutions

Abstract

Averaging method of the fractional general partial differential equations and a special case of these equations are studied, without any restrictions on the characteristic forms of the partial differential operators. We use the parabolic transform, existence and stability results can be obtained.

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Author Biographies

  • Mahmoud Mohammed Mostafa El-Borai, Alexandria University

    Department of Mathematics, Faculty of Science, Alexandria University,
    Alexandria, Egypt

  • Hamed Kamal Awad Awad, Damanhour University

    Faculty of Science, Damanhour University, Behera, Egypt

  • Randa Hamdy. M. Ali Ali, Damanhour University

    Faculty of Science, Damanhour University, Behera, Egypt

References

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Mahmoud M. El-Borai, Khairia El-Said El-Nadi, On the solutions of Ill-posed Cauchy problems for some singular integro-partial di_erential equations, Global Journal of Mathematics, 13(2) (2019), 899-905.

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Mahmoud M. El-Borai, Khairia El-Said El-Nadi and Hoda A. Foad, On some fractional stochastic delay differential equations, Computers and Mathematics with Applications, 59 (2010), 1165-1170.

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Published

2019-11-09

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Section

Articles

How to Cite

A Parabolic Transform and Averaging Methods for General Partial Differential Equations. (2019). JOURNAL OF ADVANCES IN MATHEMATICS, 17, 352-361. https://doi.org/10.24297/jam.v17i0.8481

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