Bifurcation analysis, modulation instability and dynamical analysis of soliton solutions for generalized (3 + 1)-dimensional nonlinear wave equation with m-fractional operator. [PDF]
Sci RepAlgolam MS +5 more
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Fractional modeling and numerical investigations of COVID-19 epidemic model with non-singular fractional derivatives: a case study. [PDF]
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On the solution of a boundary value problem associated with a fractional differential equation
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In this article, we study the stochastic fractional optimal control problem for a system governed by a class of non-instantaneous impulsive stochastic fractional differential equation in the infinite-dimensional spaces. We utilize the fractional calculus,
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Inverse source problems for a space–time fractional differential equation
Inverse Problems in Science and Engineering, 2020We considered two inverse source problems for a space–time fractional differential equation. Firstly recovery of a space dependent source term is studied, secondly determination of a time dependent source term is considered.
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Inverse problem for a multi-term fractional differential equation
Fractional Calculus and Applied Analysis, 2020Inverse problem for a family of multi-term time fractional differential equation with non-local boundary conditions is studied. The spectral operator of the considered problem is non-self-adjoint and a bi-orthogonal set of functions is used to construct ...
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On solutions of fractional differential equations
AIP Conference Proceedings, 2018In 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
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Fractional differential equations and the Schrödinger equation
Applied Mathematics and Computation, 2005The 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.
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Multivalued fractional differential equations
Applied Mathematics and Computation, 1995The authors study the Cauchy problem of a multivalued fractional differential equation as a consequent result of the study of Cauchy problem of fractional differential equations in the Banach space \(E\). They prove some theorems and present their existence and some other properties.
Ahmed M. A. El-Sayed, Ahmed Ibrahim
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On the fractional differential equations
Applied Mathematics and Computation, 1992The author deals with the semilinear differential equation \(d^ \alpha x(t)/dt^ \alpha=f(t,x(t))\), \(t>0\), where \(\alpha\) is any positive real number. In [Kyungpook Math. J. 28, No. 2, 119-122 (1988; Zbl 0709.34011)] the author has proved the existence, uniqueness, and some properties of the solution of this equation when ...
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