Araştırma Makalesi
Yıl 2024,
Cilt: 7 Sayı: 1, 12 - 28, 31.01.2024
Öz
Kaynakça
- F. Jarad, E. Ugurlu, T. Abdeljawad, D. Baleanu, On A New Class Of Fractional Operators, Advance in Difference Equations, Vol.247 (2017).
- K. Diethelm, The Analysis of Fractional Differential Equations, Lecture Notes in Mathematics, (2010).
- R. Hilfer, Applications of Fractional Calculus in Physics, Word Scientific, Singapore, (2000).
- A. Kilbas, H.M. Srivastava, J.J. Trujillo, Theory and Application of Fractional Differential Equations, North-Holland Matematics Studies, Vol.204 (2006).
- R.L. Magin, Fractional Calculus in Bioengineering, Begell House Publishers, Redding, (2006).
- I. Podlubny, Fractional Differential Equations, Academic Press, San Diego, (1999).
- S.G. Samko, A.A. Kilbas, O.I. Marichev, Fractional Integrals and Derivatives: Theory and Applications, Gordon and Breach, Yverdon, (1993).
- U.N. Katugampola, New Approach To Generalized Fractional Integral, Appl. Math. Comput., Vol.218, pp.860-865, (2011).
- U.N Katugampola, A New Approach To Generalized Fractional Derivatives, Bull. Math. Anal. Appl., Vol.6, pp.1-15, (2014).
- T. Abdeljawad, On Conformable Fractional Calculus, J.Comput. Appl. Math., Vol.279, pp.57-66, (2015).
- A.A Kilbas, Hadamard Type Fractional Calculus, J. Korean Math. Soc. Vol.38, pp.1191-1204, (2001).
- Y.Y. Gambo, F. Jarad, T. Abdeljawad, D. Baleanu, On Caputo Modification Of The Hadamard Fractional Derivate, Adv. Differ.Equ., Vol.10, (2014).
- F. Jarad, T. Abdeljawad, D. Baleanu, Caputo-Type Modification Of The Hadamard Fractional Derivative, Adv. Differ. Equ., Vol.142 (2012).
- Y. Adjabi, F. Jarad, D. Baleanu, T. Abdeljawad, On Cauchy Problems With Caputo Hadamard Fractional Derivatives, J.Comput. Anal. Appl., Vol.21, No.1, pp.661-681 (2016).
- F. Jarad, T. Abdeljawad, D. Baleanu, On The Generalized Fractional Derivatives And Their Caputo Modification, J., Nonlinear Sci. Appl., Vol.10, No.5, pp.2607-2619 (2017).
- H. Yıldırım, Z. Kırtay, Ostrowski Inequality for Generalized Fractional Integral and Related Inequalities, Malaya Journal of Matematik, Vol.2, No.3, pp.322-329 (2014).
Yıl 2024,
Cilt: 7 Sayı: 1, 12 - 28, 31.01.2024
Öz
In this study, we define the left and right fractional kconformable
integrals and derivatives. Furthermore, we obtained the fractional kconformable
derivatives of functions associated with some spaces and express their properties.
Anahtar Kelimeler
conformable derivatives fractional conformable integrals fractional conformable derivatives .
Kaynakça
- F. Jarad, E. Ugurlu, T. Abdeljawad, D. Baleanu, On A New Class Of Fractional Operators, Advance in Difference Equations, Vol.247 (2017).
- K. Diethelm, The Analysis of Fractional Differential Equations, Lecture Notes in Mathematics, (2010).
- R. Hilfer, Applications of Fractional Calculus in Physics, Word Scientific, Singapore, (2000).
- A. Kilbas, H.M. Srivastava, J.J. Trujillo, Theory and Application of Fractional Differential Equations, North-Holland Matematics Studies, Vol.204 (2006).
- R.L. Magin, Fractional Calculus in Bioengineering, Begell House Publishers, Redding, (2006).
- I. Podlubny, Fractional Differential Equations, Academic Press, San Diego, (1999).
- S.G. Samko, A.A. Kilbas, O.I. Marichev, Fractional Integrals and Derivatives: Theory and Applications, Gordon and Breach, Yverdon, (1993).
- U.N. Katugampola, New Approach To Generalized Fractional Integral, Appl. Math. Comput., Vol.218, pp.860-865, (2011).
- U.N Katugampola, A New Approach To Generalized Fractional Derivatives, Bull. Math. Anal. Appl., Vol.6, pp.1-15, (2014).
- T. Abdeljawad, On Conformable Fractional Calculus, J.Comput. Appl. Math., Vol.279, pp.57-66, (2015).
- A.A Kilbas, Hadamard Type Fractional Calculus, J. Korean Math. Soc. Vol.38, pp.1191-1204, (2001).
- Y.Y. Gambo, F. Jarad, T. Abdeljawad, D. Baleanu, On Caputo Modification Of The Hadamard Fractional Derivate, Adv. Differ.Equ., Vol.10, (2014).
- F. Jarad, T. Abdeljawad, D. Baleanu, Caputo-Type Modification Of The Hadamard Fractional Derivative, Adv. Differ. Equ., Vol.142 (2012).
- Y. Adjabi, F. Jarad, D. Baleanu, T. Abdeljawad, On Cauchy Problems With Caputo Hadamard Fractional Derivatives, J.Comput. Anal. Appl., Vol.21, No.1, pp.661-681 (2016).
- F. Jarad, T. Abdeljawad, D. Baleanu, On The Generalized Fractional Derivatives And Their Caputo Modification, J., Nonlinear Sci. Appl., Vol.10, No.5, pp.2607-2619 (2017).
- H. Yıldırım, Z. Kırtay, Ostrowski Inequality for Generalized Fractional Integral and Related Inequalities, Malaya Journal of Matematik, Vol.2, No.3, pp.322-329 (2014).
Toplam 16 adet kaynakça vardır.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Temel Matematik (Diğer) |
| Bölüm | Araştırma Makalesi |
| Yazarlar | |
| Yayımlanma Tarihi | 31 Ocak 2024 |
| Gönderilme Tarihi | 9 Ağustos 2023 |
| Kabul Tarihi | 14 Aralık 2023 |
| Yayımlandığı Sayı | Yıl 2024 Cilt: 7 Sayı: 1 |
