A Numerical Procedure for Fractional-Time-Space Differential Equations with the Spectral Fractional Laplacian [PDF]
, 2023 The aim of this chapter is to device a computationally effective procedure for numerically solving fractional-time-space differential equations with the spectral fractional Laplacian.
Garrappa R., Difonzo F. V.
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Spline collocation methods for fractional differential equations: theoretical and computational aspects [PDF]
, 2021 Spline collocation methods are a powerful tool to discretize fractional differential equations, since they have a high order of convergence and strong stability properties.
D. Conte, A. Cardone, B. Paternoster
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Natural Transform Decomposition Method for Solving Fractional-Order Partial Differential Equations with Proportional Delay [PDF]
, 2019 In the present article, fractional-order partial differential equations with proportional delay, including generalized Burger equations with proportional delay are solved by using Natural transform decomposition method.
Muhammad Arif +4 more
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Nonlocal Sequential Boundary Value Problems for Hilfer Type Fractional Integro-Differential Equations and Inclusions [PDF]
, 2021 In the present research, we study boundary value problems for fractional integro-differential equations and inclusions involving the Hilfer fractional derivative.
Jessada Tariboon +3 more
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p-Moment Mittag–Leffler Stability of Riemann–Liouville Fractional Differential Equations with Random Impulses [PDF]
, 2020 Fractional differential equations with impulses arise in modeling real world phenomena where the state changes instantaneously at some moments. Often, these instantaneous changes occur at random moments.
Snezhana Hristova +3 more
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The finite difference methods for fractional ordinary differential equations [PDF]
, 2013 Fractional finite difference methods are useful to solve the fractional differential equations. The aim of this article is to prove the stability and convergence of the fractional Euler method, the fractional Adams method and the high order methods based
Li, Changpin, Zeng, Fanhai
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Stability of Systems of Fractional-Order Differential Equations with Caputo Derivatives [PDF]
, 2021 Systems of fractional-order differential equations present stability properties which differ in a substantial way from those of systems of integer order.
Oana Brandibur +2 more
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Fractional variational problems depending on indefinite integrals [PDF]
, 2012 We obtain necessary optimality conditions for variational problems with a Lagrangian depending on a Caputo fractional derivative, a fractional and an indefinite integral.
Pooseh, Shakoor +8 more
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Existence and Integral Representation of Scalar Riemann-Liouville Fractional Differential Equations with Delays and Impulses [PDF]
, 2020 Nonlinear scalar Riemann-Liouville fractional differential equations with a constant delay and impulses are studied and initial conditions and impulsive conditions are set up in an appropriate way.
Snezhana Hristova +2 more
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On the oscillation of fractional differential equations [PDF]
, 2012 In this paper we initiate the oscillation theory for fractional differential equations. Oscillation criteria are obtained for a class of nonlinear fractional differential equations of the form Dqax+f1(t,x)=v(t)+f2(t,x),limt→aJ1−qax(t)=b1 , where D a q ...
Grace, Said R. +3 more
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