Study of the φ-generalized type k-fractional integrals or derivatives and some of their properties

Aydın M., Mahmudov N.

Turkish Journal of Mathematics, vol.46, no.4, pp.1384-1396, 2022 (SCI-Expanded) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 46 Say: 4
  • Nəşr tarixi: 2022
  • Doi nömrəsi: 10.3906/mat-2110-51
  • jurnalın adı: Turkish Journal of Mathematics
  • Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Səhifə sayı: pp.1384-1396
  • Açar sözlər: Cauchy type problem, Φ-generalized caputo k -fractional derivative, Φ-generalized riemann-liouville k -fractional derivative, Φ-generalized riemann-liouville k -fractional integral
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Yox

Qısa məlumat

A novel fractional integral in the sense of Riemann-Liouville integral and two new fractional derivatives in the sense of Riemann-Liouville derivative and Caputo derivative with respect to another function and two parameters are introduced. Some significant properties of them are presented like semigroup property, inverse property, etc. The solution of the Cauchy-type problem for the nonhomogenous linear differential equation with the φ-generalized Caputo k -fractional derivative is given by using the method of successive approximation