The Fundamentals of Fractional Calculus
Home > Mathematics and Science Textbooks > Mathematics > Calculus and mathematical analysis > Calculus > The Fundamentals of Fractional Calculus
The Fundamentals of Fractional Calculus

The Fundamentals of Fractional Calculus

|
     0     
5
4
3
2
1




Out of Stock


Notify me when this book is in stock
About the Book

Fractional calculus is one of the most important divisions of theoretical and applied mathematics. This new book presents a wide variety of interesting technologies and practices used in fractional calculus, providing detailed insight into recent developments and the latest research in the field of science, engineering, etc., using fractional calculus. The result of the teaching experiences of the editors and authors to engineering and science students, the volume discusses fractional calculus via generalized functions and integral transforms of pathway type; Laplace transformation of fractional integrals and derivatives; estimating the order of derivation in a fractional differential equation; a new class of integro-differential equations with non-singular differential operators; various uses of the Caputo approach; a gingerbread-man discrete system; etc. The various applications of fractional calculus are shown with examples such as for creating and/or solving epidemic models, alcoholism models, model for divorce dynamics, and more. Giving a rigorous and thorough analysis of various aspects of fractional calculus, this volume helps scientific readers as well as researchers working in the area of fractional calculus to establish the key steps followed in the research methodology and concept development.

Table of Contents:
1. An Outlook on Fractional Calculus via Generalized Functions and Integral Transforms of Pathway Type 2. Laplace Transformation of Fractional Integrals and Derivatives 3. Estimating the Order of Derivation in a Fractional Differential Equation 4. New Class of Integro-Differential Equations with Non-Singular Differential Operators 5. Exact Solution of Fractional Equations 6. Numerical Computation of Fractional Derivatives of Caputo Type 7. Some Remarks on Caputo-Weighted Integrals and Applications 8. Periodicity Solutions of K-Symbol Fractional Differential Equations with Applications 9. Gingerbread-Man Discrete System Formulated by the K-Symbol Fractional Calculus 10. An Improved Numerical Algorithm for Solving Multi-Order Fractional Differential Equations 11. Existence Results for Implicit FFDEs with Tempered Xi-HFD 12. Computational Study of the Fractional Order of an Alcoholism Model 13. A Statistical-Oriented Application of the Erdélyi-Kober Fractional Integral in Epidemic Model Problems 14. A Comprehensive Qualitative Examination of a Fractional-Order Model for Divorce Dynamics 15. A Numerical Study of the Jaulent-Miodek Model Using Homotopy Perturbation Transform Technique via the Caputo-Fabrizio Operator 16. Fractional Kinetic Equation with Incomplete Wright Function


Best Sellers


Product Details
  • ISBN-13: 9781040382059
  • Publisher: Taylor & Francis Ltd
  • Publisher Imprint: Apple Academic Press Inc.
  • Language: English
  • ISBN-10: 1040382053
  • Publisher Date: 23 Sep 2025
  • Binding: Digital (delivered electronically)


Similar Products

Add Photo
Add Photo

Customer Reviews

REVIEWS      0     
Click Here To Be The First to Review this Product
The Fundamentals of Fractional Calculus
Taylor & Francis Ltd -
The Fundamentals of Fractional Calculus
Writing guidlines
We want to publish your review, so please:
  • keep your review on the product. Review's that defame author's character will be rejected.
  • Keep your review focused on the product.
  • Avoid writing about customer service. contact us instead if you have issue requiring immediate attention.
  • Refrain from mentioning competitors or the specific price you paid for the product.
  • Do not include any personally identifiable information, such as full names.

The Fundamentals of Fractional Calculus

Required fields are marked with *

Review Title*
Review
    Add Photo Add up to 6 photos
    Would you recommend this product to a friend?
    Tag this Book Read more
    Does your review contain spoilers?
    What type of reader best describes you?
    I agree to the terms & conditions
    You may receive emails regarding this submission. Any emails will include the ability to opt-out of future communications.

    CUSTOMER RATINGS AND REVIEWS AND QUESTIONS AND ANSWERS TERMS OF USE

    These Terms of Use govern your conduct associated with the Customer Ratings and Reviews and/or Questions and Answers service offered by Bookswagon (the "CRR Service").


    By submitting any content to Bookswagon, you guarantee that:
    • You are the sole author and owner of the intellectual property rights in the content;
    • All "moral rights" that you may have in such content have been voluntarily waived by you;
    • All content that you post is accurate;
    • You are at least 13 years old;
    • Use of the content you supply does not violate these Terms of Use and will not cause injury to any person or entity.
    You further agree that you may not submit any content:
    • That is known by you to be false, inaccurate or misleading;
    • That infringes any third party's copyright, patent, trademark, trade secret or other proprietary rights or rights of publicity or privacy;
    • That violates any law, statute, ordinance or regulation (including, but not limited to, those governing, consumer protection, unfair competition, anti-discrimination or false advertising);
    • That is, or may reasonably be considered to be, defamatory, libelous, hateful, racially or religiously biased or offensive, unlawfully threatening or unlawfully harassing to any individual, partnership or corporation;
    • For which you were compensated or granted any consideration by any unapproved third party;
    • That includes any information that references other websites, addresses, email addresses, contact information or phone numbers;
    • That contains any computer viruses, worms or other potentially damaging computer programs or files.
    You agree to indemnify and hold Bookswagon (and its officers, directors, agents, subsidiaries, joint ventures, employees and third-party service providers, including but not limited to Bazaarvoice, Inc.), harmless from all claims, demands, and damages (actual and consequential) of every kind and nature, known and unknown including reasonable attorneys' fees, arising out of a breach of your representations and warranties set forth above, or your violation of any law or the rights of a third party.


    For any content that you submit, you grant Bookswagon a perpetual, irrevocable, royalty-free, transferable right and license to use, copy, modify, delete in its entirety, adapt, publish, translate, create derivative works from and/or sell, transfer, and/or distribute such content and/or incorporate such content into any form, medium or technology throughout the world without compensation to you. Additionally,  Bookswagon may transfer or share any personal information that you submit with its third-party service providers, including but not limited to Bazaarvoice, Inc. in accordance with  Privacy Policy


    All content that you submit may be used at Bookswagon's sole discretion. Bookswagon reserves the right to change, condense, withhold publication, remove or delete any content on Bookswagon's website that Bookswagon deems, in its sole discretion, to violate the content guidelines or any other provision of these Terms of Use.  Bookswagon does not guarantee that you will have any recourse through Bookswagon to edit or delete any content you have submitted. Ratings and written comments are generally posted within two to four business days. However, Bookswagon reserves the right to remove or to refuse to post any submission to the extent authorized by law. You acknowledge that you, not Bookswagon, are responsible for the contents of your submission. None of the content that you submit shall be subject to any obligation of confidence on the part of Bookswagon, its agents, subsidiaries, affiliates, partners or third party service providers (including but not limited to Bazaarvoice, Inc.)and their respective directors, officers and employees.

    Accept

    New Arrivals

    Inspired by your browsing history


    Your review has been submitted!

    You've already reviewed this product!