Results 171 to 180 of about 364 (182)

Riemann–Liouville Fractional Fundamental Theorem of Calculus and Riemann–Liouville Fractional Polya Integral Inequality and the Generalization to Choquet Integral Case

2020
Here we present the right and left Riemann–Liouville fractional fundamental theorems of fractional calculus without any initial conditions for the first time. Then we establish a Riemann–Liouville fractional Polya type integral inequality with the help of generalised right and left Riemann–Liouville fractional derivatives. The amazing fact here is that
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General Fractional Integrals and Derivatives of Arbitrary Order

Symmetry, 2021
Yuri Luchko, Luchko Yuri
exaly  

Distortion and Convolutional Theorems for Operators of Generalized Fractional Calculus Involving Wright Function

Journal of Applied Analysis, 2008
M K Aouf, J Dziok
exaly  

APPLICATIONS OF TWO IMPORTANT THEOREMS OF FRACTIONAL CALCULUS

2021
exaly  

Some applications of fractional calculus operators to certain subclasses of prestarlike functions with negative coefficients

Computers and Mathematics With Applications, 1995
H M Srivastava
exaly  

A class of distortion theorems involving certain operators of fractional calculus

Journal of Mathematical Analysis and Applications, 1988
H M Srivastava, Megumi Saigo
exaly  

Geometric demonstration of the fundamental theorems of the calculus

International Journal of Mathematical Education in Science and Technology, 2010
exaly  

The Fundamental Theorems of Calculus

2011
G C Jain, Ajay K Poddar, A K Ghosh
exaly  

The mean value theorems and a Nagumo-type uniqueness theorem for Caputo’s fractional calculus

Fractional Calculus and Applied Analysis, 2012
Kai Diethelm, Diethelm Kai
exaly