Hadamard-type fractional differential equations for the system of integral inequalities on time scales. Issue 5 (3rd May 2020)

• Record Type: Journal Article
• Authors: Khan, Zareen A.
• Is Part Of: Integral transforms and special functions. Volume 31:Issue 5(2020)
• Page Start: 412
• Page End: 423
• Publication Date: 2020-05-03
• Subjects: Hadamard integral -- fractional differential equations -- time-scale calculus -- Greene's inequality; 26A33; Integral transforms -- Periodicals; Transcendental functions -- Periodicals; Transformations (Mathematics) -- Periodicals; Calculus, Integral -- Periodicals; 515
• DOI: 10.1080/10652469.2019.1700409
• Languages: English
• ISSNs: 1065-2469

Abstract

ABSTRACT: This paper investigates some system of integral inequalities of one independent variable on time scales. The conclusion can be obtained by using Hadamard-type fractional differential equations and Greene's method which bring together and expand some integral inequalities on time scales. The established inequalities give explicit bounds on unknown functions which can be utilized as a key in examining the properties of certain classes of partial dynamic equations and difference equations on time scales. As an application, a system of fractional differential equations is considered to explain the value of our results.