Basics of diamond-\(\alpha \) partial dynamic calculus on time scales

DOI10.1016/J.MCM.2009.01.007zbMath1185.26066OpenAlexW2009758756MaRDI QIDQ970027

Umut Mutlu Özkan, Billur Kaymakçalan

Publication date: 8 May 2010

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2009.01.007

zbMATH Keywords

double diamond-\(\alpha \) dynamic integralspartial diamond-\(\alpha \) dynamic derivatives

Mathematics Subject Classification ID

Real analysis on time scales or measure chains (26E70)

Related Items (5)

A survey of recent results for the generalizations of ordinary differential equations ⋮ Diamond-\(\alpha\) weighted Ostrowski type and Grüss type inequalities on time scales ⋮ Higher dimensions opial diamond-alpha inequalities on time scales ⋮ Unnamed Item ⋮ Dynamic Opial diamond-\(\alpha\) integral inequalities involving the power of a function

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An exploration of combined dynamic derivatives on time scales and their applications
• Notes on the diamond-\(\alpha\) dynamic derivative on time scales
• Partial differential equations on time scales
• On Carleman and Knopp's inequalities.
• Double integral calculus of variations on time scales
• Hardy inequality on time scales and its application to half-linear dynamic equations
• The diamond-alpha Riemann integral and mean value theorems on time scales
• Hybrid approximations via second order combined dynamic derivatives on time scales
• Hardy-type inequalities via convexity

This page was built for publication: Basics of diamond-\(\alpha \) partial dynamic calculus on time scales