مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Persian Verion
مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

video

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

sound

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Persian Version

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

View:

118
مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Download:

0
مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Cites:

Information Journal Paper

Title

Characterization of polynomially bounded α-resolvent families

Pages

  113-124

Abstract

 The theory of α-Resolvent families was developed as a generalization of the classical theory of Strongly continuous semigroups and cosine operator families, to study the fractional evolution equations with Caputo derivative of order α . An important problem in semigroup theory and also for cosine operator families is to discuss different type of boundedness (in terms of their Generator) for these families. In this paper, we study Polynomially bounded α-Resolvent families. We impose conditions on the Resolvent of a closed and densely defined linear operator to be the Generator of an α-Resolvent family. We also show that these conditions are necessary in the case of Hilbert spaces. This generalizes the result by T. Eisner on Polynomially bounded semigroups. Moreover, since α-Resolvent families describe the solutions to fractional evolution equations, with this generation result, we discuss the existence and stability of solutions to these problems at the same time.

Cites

  • No record.

    • References

  • No record.

    • Cite

    APA: Copy

    Ghavidel, Seyedeh Marzieh, & Shahali, Mina. (2021). Characterization of polynomially bounded α-resolvent families. JOURNAL OF NEW RESEARCHES IN MATHEMATICS, 7(31 ), 113-124. SID. https://sid.ir/paper/954163/en

    Vancouver: Copy

    Ghavidel Seyedeh Marzieh, Shahali Mina. Characterization of polynomially bounded α-resolvent families. JOURNAL OF NEW RESEARCHES IN MATHEMATICS[Internet]. 2021;7(31 ):113-124. Available from: https://sid.ir/paper/954163/en

    IEEE: Copy

    Seyedeh Marzieh Ghavidel, and Mina Shahali, “Characterization of polynomially bounded α-resolvent families,” JOURNAL OF NEW RESEARCHES IN MATHEMATICS, vol. 7, no. 31 , pp. 113–124, 2021, [Online]. Available: https://sid.ir/paper/954163/en

    Related Journal Papers

  • No record.

    • Related Seminar Papers

  • No record.

    • Related Plans

  • No record.

    • Recommended Workshops






    Move to top
    telegram sharing button
    whatsapp sharing button
    linkedin sharing button
    twitter sharing button
    email sharing button
    email sharing button
    email sharing button
    sharethis sharing button