Results 211 to 220 of about 24,000 (262)

Analysis of delay differential equations with dual caputo-type fractional derivatives using laplace transform methods. [PDF]

Sci Rep
Boumaaza M, Boutiara A, Djidel O, Guefaifia R, Boulaaras S.   +4 more
europepmc   +1 more source

Hybrid expansion methods for fractional non-linear mathematical systems with Erdelyi-Kober derivative operators in theory of tsunami wave modeling. [PDF]

Sci Rep
Damag FH, Saif A, Alshammari M, Alhubairah F, Alshammari MF, Alsharafi MS.   +5 more
europepmc   +1 more source

Stability analysis and exploration of multiform soliton solutions for extended fractional NLS model using modified extended direct algebraic method. [PDF]

Sci Rep
Soliman M, Ramadan ME, Alkhatib S, Ahmed HM.   +3 more
europepmc   +1 more source

Analytical investigation of soliton propagation in conformable fractional-order transmission line metamaterials. [PDF]

Sci Rep
Almetwally EM, Zayed MA, Abo-Hashem SI, Sadat R, Mabrouk SM, Rashed AS.   +5 more
europepmc   +1 more source

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Fractional differential equations as alternative models to nonlinear differential equations

Applied Mathematics and Computation, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M Rivero
exaly   +3 more sources

Fractional differential equations and the Schrödinger equation

Applied Mathematics and Computation, 2005
The authors study fractional differential equations associated to the \(\alpha\)-derivative, where such equations appear in many problems. In particular, they obtain a fractional differential equation related to the classical Schrödinger equation by studying Nottale's approach to quantum mechanics via a fractal space-time.
Fayçal Ben Adda, Jacky Cresson
openaire   +2 more sources

On solutions of fractional differential equations

AIP Conference Proceedings, 2018
In this paper, we obtain exact and approximate solutions of differential equations by reproducing kernel Hilbert space method. We demonstrate our solutions by series.
Akgul, A., Sakar, M. Giyas
openaire   +3 more sources

q-fractional differential equations with uncertainty

Soft Computing, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Z. Noeiaghdam, Tofigh Allahviranloo, Juan J. Nieto 0001   +2 more
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Total fractional differentials with applications to exact fractional differential equations

International Journal of Computer Mathematics, 2018
In this paper we introduce and study exact fractional differential equations, where we use the conformable fractional derivative. This forces us to introduce the fractional differential function.
Mohammed Alhorani, Roshdi Khalil
openaire   +1 more source