Home
Add
Get on Google Play
Home
> Edit
Add/Update Thesis
Title*
Author's Name*
Supervisor's Name
Abstract
Generalized forms of fractional calculus operators (integrals and derivatives) are introduced. Caputo -fractional derivative and Hadamard Caputo type -fractional derivative are discussed and their results with some applications are presented. Extensions of Weyl -fractional integral and Hadamard -fractional integral are also introduced. Boundedness of the extended Hadamard -fractional integral inspaces is determined. The generalized -fractional derivative and generalized Caputo type -fractional derivative are introduced and their properties and results are found. Finaly, the generalized type -fractional integral (unifying eleven existing fractional integrals) is introduced and its boundedness inspaces is also determined.Further, integral transforms of - fractional and extended -fractional operators are found. Proofs of properties including semigroup, commutative and some other results for -Weyl fractional integral are given. Moreover, some inequalities for -Weyl fractional integral are discussed and examples are also given to illustrate the results. Relationship between these new generalized forms of fractional calculus operators with the existing fractional operators are discussed by substituting the different values of involved parameters. Integral transforms of new fractional operators and their applications are also given.
Subject/Specialization
Language
Program
Faculty/Department's Name
Institute Name
Univeristy Type
Public
Private
Campus (if any)
Institute Affiliation Inforamtion (if any)
City where institute is located
Province
Country
Degree Starting Year
Degree Completion Year
Year of Viva Voce Exam
Thesis Completion Year
Thesis Status
Completed
Incomplete
Number of Pages
Urdu Keywords
English Keywords
Link
Select Category
Religious Studies
Social Sciences & Humanities
Science
Technology
Any other inforamtion you want to share such as Table of Contents, Conclusion.
Your email address*