Generalized invexity and duality in multiobjective variational problems involving non-singular fractional derivative
Abstract: In this article, we extend the generalized invexity and duality results for multiobjective variational problems with fractional derivative pertaining to an exponential kernel by using the concept of weak minima. Multiobjective variational problems find their applications in economic planning, flight control design, industrial process control, control of space structures, control of production and inventory, advertising investment, impulsive control problems, mechanics, and several other engineering and scientific problems. The proposed work considers the newly derived Caputo–Fabrizio (CF) fractional derivative operator. It is actually a convolution of the exponential function and the first-order derivative. The significant characteristic of this fractional derivative operator is that it provides a non-singular exponential kernel, which describes the dynamics of a system in a better way. Moreover, the proposed work also presents various weak, strong, and converse duality theorems under the diverse generalized invexity conditions in view of the CF fractional derivative operator.
- Location
-
Deutsche Nationalbibliothek Frankfurt am Main
- Extent
-
Online-Ressource
- Language
-
Englisch
- Bibliographic citation
-
Generalized invexity and duality in multiobjective variational problems involving non-singular fractional derivative ; volume:20 ; number:1 ; year:2022 ; pages:939-962 ; extent:24
Open physics ; 20, Heft 1 (2022), 939-962 (gesamt 24)
- Creator
-
Dubey, Ved Prakash
Kumar, Devendra
Alshehri, Hashim M.
Singh, Jagdev
Baleanu, Dumitru
- DOI
-
10.1515/phys-2022-0195
- URN
-
urn:nbn:de:101:1-2022092814052305652224
- Rights
-
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
-
15.08.2025, 7:35 AM CEST
Data provider
This object is provided by:
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Associated
- Dubey, Ved Prakash
- Kumar, Devendra
- Alshehri, Hashim M.
- Singh, Jagdev
- Baleanu, Dumitru
Other Objects (12)
Mathematical analysis of tuberculosis control model using nonsingular kernel type Caputo derivative
Discrete fractional differences with nonsingular discrete Mittag-Leffler kernels
Analysis and applications of the proportional Caputo derivative
An equation for complex fractional diffusion created by the Struve function with a T -symmetric univalent solution
Analytic solutions of a generalized complex multi-dimensional system with fractional order
Comparative simulations for solutions of fractional Sturm–Liouville problems with non-singular operators
On a Caputo conformable inclusion problem with mixed Riemann–Liouville conformable integro-derivative conditions
Analyzing transient response of the parallel RCL circuit by using the Caputo–Fabrizio fractional derivative
A fractional differential equation model for the COVID-19 transmission by using the Caputo–Fabrizio derivative
A new method for investigating approximate solutions of some fractional integro-differential equations involving the Caputo-Fabrizio derivative
Analysis of the model of HIV-1 infection of C D 4 + $CD4^+}$ T-cell with a new approach of fractional derivative
On high order fractional integro-differential equations including the Caputo–Fabrizio derivative
Mathematical analysis of tuberculosis control model using nonsingular kernel type Caputo derivative
Discrete fractional differences with nonsingular discrete Mittag-Leffler kernels
Analysis and applications of the proportional Caputo derivative
An equation for complex fractional diffusion created by the Struve function with a T -symmetric univalent solution
Analytic solutions of a generalized complex multi-dimensional system with fractional order
Comparative simulations for solutions of fractional Sturm–Liouville problems with non-singular operators
On a Caputo conformable inclusion problem with mixed Riemann–Liouville conformable integro-derivative conditions
Analyzing transient response of the parallel RCL circuit by using the Caputo–Fabrizio fractional derivative
A fractional differential equation model for the COVID-19 transmission by using the Caputo–Fabrizio derivative
A new method for investigating approximate solutions of some fractional integro-differential equations involving the Caputo-Fabrizio derivative
Analysis of the model of HIV-1 infection of C D 4 + $CD4^+}$ T-cell with a new approach of fractional derivative
On high order fractional integro-differential equations including the Caputo–Fabrizio derivative
Mathematical analysis of tuberculosis control model using nonsingular kernel type Caputo derivative
Discrete fractional differences with nonsingular discrete Mittag-Leffler kernels
Analysis and applications of the proportional Caputo derivative
An equation for complex fractional diffusion created by the Struve function with a T -symmetric univalent solution
Analytic solutions of a generalized complex multi-dimensional system with fractional order
Comparative simulations for solutions of fractional Sturm–Liouville problems with non-singular operators
On a Caputo conformable inclusion problem with mixed Riemann–Liouville conformable integro-derivative conditions
Analyzing transient response of the parallel RCL circuit by using the Caputo–Fabrizio fractional derivative
A fractional differential equation model for the COVID-19 transmission by using the Caputo–Fabrizio derivative
A new method for investigating approximate solutions of some fractional integro-differential equations involving the Caputo-Fabrizio derivative
Analysis of the model of HIV-1 infection of C D 4 + $CD4^+}$ T-cell with a new approach of fractional derivative