Numerical analysis of nonlinear fractional Klein–Fock–Gordon equation arising in quantum field theory via Caputo–Fabrizio fractional operator

The present article deals with the solution of nonlinear fractional Klein–Fock–Gordon equation which involved the newly developed Caputo–Fabrizio fractional derivative with non-singular kernel. We adopt fractional homotopy perturbation transform method in order to find the approximate solution of fr...

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Veröffentlicht in:Mathematical sciences (Karaj, Iran) Jg. 15; H. 3; S. 269 - 281
Hauptverfasser: Prakash, Amit, Kumar, Ajay, Baskonus, Haci Mehmet, Kumar, Ashok
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2021
Springer Nature B.V
Schlagworte:
Applications of Mathematics
Field theory
Mathematics
Mathematics and Statistics
Numerical analysis
Operators (mathematics)
Original Research
Perturbation
Quantum field theory
Quantum theory
Caputo–Fabrizio fractional operator
Fractional Klein–Fock–Gordon equation
Laplace transform
Fractional Homotopy perturbation transform method
ISSN:2008-1359, 2251-7456
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Zusammenfassung:The present article deals with the solution of nonlinear fractional Klein–Fock–Gordon equation which involved the newly developed Caputo–Fabrizio fractional derivative with non-singular kernel. We adopt fractional homotopy perturbation transform method in order to find the approximate solution of fractional Klein–Fock–Gordon equation in the form of rapidly convergent series. Existence and uniqueness analysis of the considered model is provided. We consider few numerical examples to validate the projected technique. The obtained results shows that this method is very efficient, simple in implementation and that it can be applied to solve other nonlinear problems.
Bibliographie:ObjectType-Article-1
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content type line 14
ISSN:2008-1359
2251-7456
DOI:10.1007/s40096-020-00365-2