Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2020, Cilt: 2 Sayı: 1, 1 - 9, 30.07.2020

Öz

Kaynakça

  • F. M. Al-Oboudi, On univalent functions defined by a generalized Salagean operator, Int. J. Math. Math. Sci., 27(2004), 1429–1436.
  • N. E. Cho and T. H. Kim, Multiplier transformations and strongly close-to-convex functions, Bull. Korean Math. Soc., 40(3)(2003), 399-410.
  • N. E. Cho and H. M. Srivastava, Argument estimates of certain analytic functions defined by a class of multiplier transformations, Math. Comput. Modelling, 37(1-2)(2003), 39-49.
  • S. P. Goyal and R. Goyal, On a class of multivalent functions defined by a generalized Ruscheweyh derivatives involving a general fractional derivative operator, J. Indian Acad. Math., 27(2)(2005), 439-456.
  • A. Haydar, On fuzzy differential subordination, Mthematica Moravica, 19(1)(2015), 123-129.
  • A. Alb Lupaş, A note on special fuzzy differential subordinations using generalized Sălăgean operator and Ruscheweyh derivative, J. Comp. Anal. Appl., 15(8)(2013), 1476-1483.
  • A. Alb Lupaş, A note on special fuzzy differential subordinations using multiplier transformation, Analele Universitatii Oradea, Fasc. Matematica, XXIII(2)(2016), 183-191.
  • A. Alb Lupaş, On special fuzzy differential subordinations using generalized Salagean operator and Ruscheweyh derivative, J. Adv. Appl. Comp. Math., 4(2017), 26-34.
  • A. Alb Lupaş, On special fuzzy differential subordinations using multiplier transformation, J. Comp. Anal. Appl., 23(6)(2017), 1029-1035.
  • A. Alb Lupaş, A note on special fuzzy differential subordinations using multiplier transformation and Ruschewehy derivative, J. Comp. Anal. Appl., 25(6)(2018), 1125-1131.
  • A. Alb Lupaş and Gh. Oros, On special fuzzy differential subordinations using Sălăgean and Ruscheweyh operators, Appl. Math. Comp., 261(2015), 119-127.
  • G. I. Oros and Gh. Oros, The notion of subordination in fuzzy set theory, General Mathematics, 19(4)(2011), 97-103.
  • G. I. Oros and Gh. Oros, Fuzzy differential subordination, Acta Universitatis Apulensis, 30(2012), 55-64.
  • G. I. Oros and Gh. Oros, Dominants and best dominants in fuzzy differential subordinations, Stud. Univ. Babeş - Bolyai Math., 57(2)(2012), 239-248.
  • G. S. Salagean, Subclasses of univalent functions, Lecture Notes in Math., Springer Verlag, Berlin, 1013(1983), 362-372.
  • H. M. Srivastava and S. Owa, Univalent Functions, Fractional Calculus and Their Applications, Halsted Press, John Wiley and Sons, New York, Chichester, Brisbane and Toronto, 1989.
  • H. M. Srivastava and S. Owa (Eds.), Current Topics in Analytic Function Theory, World Scientific Publishing Company, Singapore, New Jersey, London and Hong Kong, 1992.
  • S. R. Swamy, Inclusion properties of certain subclasses of analytic functions, Int. Math. Forum, 7(36)(2012), 1751–1760.
  • A. K. Wanas, New differential operator for holomorphic functions, Earthline Journal of Mathematical Sciences, 2(2)(2019), 527-537.
  • L. A. Zadeh, Fuzzy sets, Information and control, 8(1965), 338-353.

Fuzzy Differential Subordinations for Analytic Functions Involving Wanas Operator and Some Applications in Fractional Calculus

Yıl 2020, Cilt: 2 Sayı: 1, 1 - 9, 30.07.2020

Öz

The purpose of the present paper is to establish some properties of fuzzy subordination of analytic functions associated with Wanas differential operator which defined in the open unit disk. Further, we give some applications in fractional derivative.

Kaynakça

  • F. M. Al-Oboudi, On univalent functions defined by a generalized Salagean operator, Int. J. Math. Math. Sci., 27(2004), 1429–1436.
  • N. E. Cho and T. H. Kim, Multiplier transformations and strongly close-to-convex functions, Bull. Korean Math. Soc., 40(3)(2003), 399-410.
  • N. E. Cho and H. M. Srivastava, Argument estimates of certain analytic functions defined by a class of multiplier transformations, Math. Comput. Modelling, 37(1-2)(2003), 39-49.
  • S. P. Goyal and R. Goyal, On a class of multivalent functions defined by a generalized Ruscheweyh derivatives involving a general fractional derivative operator, J. Indian Acad. Math., 27(2)(2005), 439-456.
  • A. Haydar, On fuzzy differential subordination, Mthematica Moravica, 19(1)(2015), 123-129.
  • A. Alb Lupaş, A note on special fuzzy differential subordinations using generalized Sălăgean operator and Ruscheweyh derivative, J. Comp. Anal. Appl., 15(8)(2013), 1476-1483.
  • A. Alb Lupaş, A note on special fuzzy differential subordinations using multiplier transformation, Analele Universitatii Oradea, Fasc. Matematica, XXIII(2)(2016), 183-191.
  • A. Alb Lupaş, On special fuzzy differential subordinations using generalized Salagean operator and Ruscheweyh derivative, J. Adv. Appl. Comp. Math., 4(2017), 26-34.
  • A. Alb Lupaş, On special fuzzy differential subordinations using multiplier transformation, J. Comp. Anal. Appl., 23(6)(2017), 1029-1035.
  • A. Alb Lupaş, A note on special fuzzy differential subordinations using multiplier transformation and Ruschewehy derivative, J. Comp. Anal. Appl., 25(6)(2018), 1125-1131.
  • A. Alb Lupaş and Gh. Oros, On special fuzzy differential subordinations using Sălăgean and Ruscheweyh operators, Appl. Math. Comp., 261(2015), 119-127.
  • G. I. Oros and Gh. Oros, The notion of subordination in fuzzy set theory, General Mathematics, 19(4)(2011), 97-103.
  • G. I. Oros and Gh. Oros, Fuzzy differential subordination, Acta Universitatis Apulensis, 30(2012), 55-64.
  • G. I. Oros and Gh. Oros, Dominants and best dominants in fuzzy differential subordinations, Stud. Univ. Babeş - Bolyai Math., 57(2)(2012), 239-248.
  • G. S. Salagean, Subclasses of univalent functions, Lecture Notes in Math., Springer Verlag, Berlin, 1013(1983), 362-372.
  • H. M. Srivastava and S. Owa, Univalent Functions, Fractional Calculus and Their Applications, Halsted Press, John Wiley and Sons, New York, Chichester, Brisbane and Toronto, 1989.
  • H. M. Srivastava and S. Owa (Eds.), Current Topics in Analytic Function Theory, World Scientific Publishing Company, Singapore, New Jersey, London and Hong Kong, 1992.
  • S. R. Swamy, Inclusion properties of certain subclasses of analytic functions, Int. Math. Forum, 7(36)(2012), 1751–1760.
  • A. K. Wanas, New differential operator for holomorphic functions, Earthline Journal of Mathematical Sciences, 2(2)(2019), 527-537.
  • L. A. Zadeh, Fuzzy sets, Information and control, 8(1965), 338-353.
Toplam 20 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Kabul edilmiş makaleler
Yazarlar

Abbas Kareem 0000-0001-5838-7365

Yayımlanma Tarihi 30 Temmuz 2020
Kabul Tarihi 2 Haziran 2020
Yayımlandığı Sayı Yıl 2020 Cilt: 2 Sayı: 1

Kaynak Göster

APA Kareem, A. (2020). Fuzzy Differential Subordinations for Analytic Functions Involving Wanas Operator and Some Applications in Fractional Calculus. Ikonion Journal of Mathematics, 2(1), 1-9.
AMA Kareem A. Fuzzy Differential Subordinations for Analytic Functions Involving Wanas Operator and Some Applications in Fractional Calculus. ikjm. Temmuz 2020;2(1):1-9.
Chicago Kareem, Abbas. “Fuzzy Differential Subordinations for Analytic Functions Involving Wanas Operator and Some Applications in Fractional Calculus”. Ikonion Journal of Mathematics 2, sy. 1 (Temmuz 2020): 1-9.
EndNote Kareem A (01 Temmuz 2020) Fuzzy Differential Subordinations for Analytic Functions Involving Wanas Operator and Some Applications in Fractional Calculus. Ikonion Journal of Mathematics 2 1 1–9.
IEEE A. Kareem, “Fuzzy Differential Subordinations for Analytic Functions Involving Wanas Operator and Some Applications in Fractional Calculus”, ikjm, c. 2, sy. 1, ss. 1–9, 2020.
ISNAD Kareem, Abbas. “Fuzzy Differential Subordinations for Analytic Functions Involving Wanas Operator and Some Applications in Fractional Calculus”. Ikonion Journal of Mathematics 2/1 (Temmuz 2020), 1-9.
JAMA Kareem A. Fuzzy Differential Subordinations for Analytic Functions Involving Wanas Operator and Some Applications in Fractional Calculus. ikjm. 2020;2:1–9.
MLA Kareem, Abbas. “Fuzzy Differential Subordinations for Analytic Functions Involving Wanas Operator and Some Applications in Fractional Calculus”. Ikonion Journal of Mathematics, c. 2, sy. 1, 2020, ss. 1-9.
Vancouver Kareem A. Fuzzy Differential Subordinations for Analytic Functions Involving Wanas Operator and Some Applications in Fractional Calculus. ikjm. 2020;2(1):1-9.