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Advances in Fuzzy Integral and Differential Equations

  • First book covering simultaneously the theory and applicability of integral equations and differential equations under uncertainty
  • In the theory part, the book investigates in detail the existence and uniqueness results of fuzzy integral and differential equations with several different approaches
  • Presents new findings in the theory and applications of fuzzy integral and differential equations

Part of the book series: Studies in Fuzziness and Soft Computing (STUDFUZZ, volume 412)

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-vi
  2. Fuzzy Differential Equations

    1. Front Matter

      Pages 1-1
    2. Differential and Integral Calculus for Fuzzy Number-Valued Functions with Interactivity

      • Laécio Carvalho de Barros, Francielle Santo Pedro, Estevão Esmi
      Pages 3-47
    3. Complete Controllability of Fuzzy Fractional Evolutions Equation Under Fréchet Derivative in Linear Correlated Fuzzy Spaces

      • Nguyen Thi Kim Son, Hoang Thi Phuong Thao, Tran Van Bang, Hoang Viet Long
      Pages 81-114
    4. An Estimation of the Solution of First Order Fuzzy Differential Equations

      • N. Ahmady, T. Allahviranloo, E. Ahmady
      Pages 115-141
    5. Solution Strategy for Fuzzy Fractional Order Linear Homogeneous Differential Equation by Caputo-H Differentiability and Its Application in Fuzzy EOQ Model

      • Mostafijur Rahaman, Sankar Prasad Mondal, A. El Allaoui, Shariful Alam, Ali Ahmadian, Soheil Salahshour
      Pages 143-157
  3. Fuzzy Integral Equations

    1. Front Matter

      Pages 171-171
    2. Finding Optimal Results in the Homotopy Analysis Method to Solve Fuzzy Integral Equations

      • Mohammad Ali Fariborzi Araghi, Samad Noeiaghdam
      Pages 173-195

About this book

As the title of the book suggests, the topics of this book are organized into two parts. The first part points out the fuzzy differential equations and the second one is related to the fuzzy integral equations. The book contains nine chapters that six chapters are about fuzzy differential equations and three of them are about fuzzy integral equations. In each part, the chapters’ authors are going to discuss the topics theoretically and numerically.

All researchers and students in the field of mathematical, computer, and also engineering sciences can benefit from the subjects of the book.

Editors and Affiliations

  • Faculty of Engineering and Natural Sciences, Bahçeşehir University, Istanbul, Turkey

    Tofigh Allahviranloo, Soheil Salahshour

Bibliographic Information

  • Book Title: Advances in Fuzzy Integral and Differential Equations

  • Editors: Tofigh Allahviranloo, Soheil Salahshour

  • Series Title: Studies in Fuzziness and Soft Computing

  • DOI: https://doi.org/10.1007/978-3-030-73711-5

  • Publisher: Springer Cham

  • eBook Packages: Intelligent Technologies and Robotics, Intelligent Technologies and Robotics (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2022

  • Hardcover ISBN: 978-3-030-73710-8Published: 26 July 2021

  • Softcover ISBN: 978-3-030-73713-9Published: 26 July 2022

  • eBook ISBN: 978-3-030-73711-5Published: 25 July 2021

  • Series ISSN: 1434-9922

  • Series E-ISSN: 1860-0808

  • Edition Number: 1

  • Number of Pages: VI, 228

  • Number of Illustrations: 14 b/w illustrations, 14 illustrations in colour

  • Topics: Computational Intelligence, Complexity

Buy it now

Buying options

eBook USD 139.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 179.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 179.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access