Book
Mouffak Benchohra, Erdal Karapinar, Jamal Eddine Lazreg, Abdelkrim Salim
Synthesis Lectures on Mathematics & Statistics, 1st ed. 2023, Springer Cham, 2023
Synthesis Lectures on Mathematics & Statistics, 1st ed. 2023, Springer Cham, 2023
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APA
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Benchohra, M., Karapinar, E., Lazreg, J. E., & Salim, A. (2023). Fractional Differential Equations: New Advancements for Generalized Fractional Derivatives (1st ed. 2023). Springer Cham.
Chicago/Turabian
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Benchohra, Mouffak, Erdal Karapinar, Jamal Eddine Lazreg, and Abdelkrim Salim. Fractional Differential Equations: New Advancements for Generalized Fractional Derivatives. 1St ed. 2023. Synthesis Lectures on Mathematics & Statistics. Springer Cham, 2023.
MLA
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Benchohra, Mouffak, et al. Fractional Differential Equations: New Advancements for Generalized Fractional Derivatives. 1St ed. 2023, Springer Cham, 2023.
BibTeX Click to copy
@book{mouffak2023a,
title = {Fractional Differential Equations: New Advancements for Generalized Fractional Derivatives},
year = {2023},
edition = {1st ed. 2023},
publisher = {Springer Cham},
series = {Synthesis Lectures on Mathematics & Statistics},
author = {Benchohra, Mouffak and Karapinar, Erdal and Lazreg, Jamal Eddine and Salim, Abdelkrim}
}
This book covers problems involving a variety of fractional differential equations, as well as some involving the generalized Hilfer fractional derivative, which unifies the Riemann-Liouville and Caputo fractional derivatives. The authors highlight the existence, uniqueness, and stability results for various classes of fractional differential equations based on the most recent research in the area. The book discusses the classic and novel fixed point theorems related to the measure of noncompactness in Banach spaces and explains how to utilize them as tools. The authors build each chapter upon the previous one, helping readers to develop their understanding of the topic. The book includes illustrated results, analysis, and suggestions for further study.
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About the Author
Erdal Karapinar, Ph.D., is a Professor in the Department of Mathematics at Cankaya University and Visiting Professor at the China Medical University of Taichung. He completed his Ph.D. at the Middle East Technical University (METU), Turkiye, in 2004. He has written more than 400 research articles in peer reviewed journals. His research interests include functional analysis and metric fixed point theory.
Mouffak Benchohra, Ph.D., is a Full Professor in the department of mathematics at Djillali Liabes University of Sidi Bel Abbes. Benchohra received a master's degree in Nonlinear Analysis from Tlemcen University, and a Ph.D. in Mathematics from Djillali Liabes University, Sidi Bel Abbes. His research fields include fractional differential equations, evolution equations and inclusions, and control theory and applications. Benchohra has published more than 500 papers and five monographs. Benchohra has also occupied the position of head of department of mathematics at Djillali Liabes University, Sidi Bel Abbes. He is on the Editorial Board of 10 international journals.
Jamal Eddine Lazreg, Ph.D., is a Full Professor at the department of mathematics, Djillali Liabes University of Sidi Bel Abbes. Lazreg received a master's degree in functional analysis from Djillali Liabes University, and a Ph.D. in differential equations from Djillali Liabes University of Sidi Bel Abbes. His research fields include fractional differential equations and inclusions.
Abdelkrim Salim, Ph.D., is an Associate Professor at the faculty of Technology, Hassiba Benbouali University of Chlef. Salim received a master's degree in functional analysis and differential equations from Djillali Liabès University and a Ph.D. in mathematical analysis and applications from Djillali Liabes University of Sidi Bel Abbes. His research fields include fractional differential equations and inclusions, and control theory and applications.
Mouffak Benchohra, Ph.D., is a Full Professor in the department of mathematics at Djillali Liabes University of Sidi Bel Abbes. Benchohra received a master's degree in Nonlinear Analysis from Tlemcen University, and a Ph.D. in Mathematics from Djillali Liabes University, Sidi Bel Abbes. His research fields include fractional differential equations, evolution equations and inclusions, and control theory and applications. Benchohra has published more than 500 papers and five monographs. Benchohra has also occupied the position of head of department of mathematics at Djillali Liabes University, Sidi Bel Abbes. He is on the Editorial Board of 10 international journals.
Jamal Eddine Lazreg, Ph.D., is a Full Professor at the department of mathematics, Djillali Liabes University of Sidi Bel Abbes. Lazreg received a master's degree in functional analysis from Djillali Liabes University, and a Ph.D. in differential equations from Djillali Liabes University of Sidi Bel Abbes. His research fields include fractional differential equations and inclusions.
Abdelkrim Salim, Ph.D., is an Associate Professor at the faculty of Technology, Hassiba Benbouali University of Chlef. Salim received a master's degree in functional analysis and differential equations from Djillali Liabès University and a Ph.D. in mathematical analysis and applications from Djillali Liabes University of Sidi Bel Abbes. His research fields include fractional differential equations and inclusions, and control theory and applications.