On multiplicative conformable fractional integrals: theory and applications
Küçük Resim Yok
Tarih
2025
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we first introduce the multiplicative conformable left and right fractional integrals, followed by the derivation of key properties, such as integrability, boundedness, continuity, and the semi-group property, for the newly defined multiplicative conformable fractional integrals. Then, we establish the Hermite-Hadamard inequalities in three distinct senses for multiplicative conformable fractional integrals. Moreover, we present several corresponding midpoint and trapezoidal inequalities for the obtained Hermite-Hadamard inequalities including multiplicative conformable fractional integrals. By special cases, we present the relations between newly obtained inequalities for multiplicative conformable fractional integrals and existing results for multiplicative Riemann-Liouville fractional integrals and multiplicative integrals. Furthermore, we give some new Hermite-Hadamard type, trapezoid type and midpoint type inequalities or multiplicative Riemann-Liouville fractional integrals. Finally, we give several examples and 3D graphs to illustrate the main results.
Açıklama
Anahtar Kelimeler
Multiplicative calculus, Hermite-Hadamard inequality, Conformable fractional integrals
Kaynak
Boundary Value Problems
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
2025
Sayı
1
