Truncated -Fractional Derivative and Variational Problems

In this paper, we study a variational calculus with the truncated -fractional derivatives. We derive the necessary optimality conditions by formulating the corresponding Euler-Lagrange equations and prove their validity. Some illustrative applications are presented. Through these applications we hav...

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Bibliographic Details
Published inInternational journal of applied and computational mathematics Vol. 11; no. 4
Main Authors El Ansari, Brahim, El Kinani, El Hassan, Ouhadan, Abdelaziz
Format Journal Article
LanguageEnglish
Published New Delhi Springer India 01.08.2025
Springer Nature B.V
Subjects
Applications of Mathematics
Computational Science and Engineering
Euler-Lagrange equation
Fractional calculus
Mathematical and Computational Physics
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Nuclear Energy
Operations Research/Decision Theory
Original Paper
Theoretical
fractional derivative
Variational problems
Euler-Lagrange equation
Fractional calculus
Truncated
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ISSN2349-5103
2199-5796
DOI10.1007/s40819-025-01984-w

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Summary:In this paper, we study a variational calculus with the truncated -fractional derivatives. We derive the necessary optimality conditions by formulating the corresponding Euler-Lagrange equations and prove their validity. Some illustrative applications are presented. Through these applications we have seen the effect of the -parameter on the obtained solutions.
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ISSN:2349-5103
2199-5796
DOI:10.1007/s40819-025-01984-w