Results 11 to 20 of about 237 (141)

Solvability of Sequential Fractional Differential Equation at Resonance

Mathematics, 2023
The sequential fractional differential equations at resonance are introduced subject to three-point boundary conditions. The emerged fractional derivative operators in these equations are based on the Caputo derivative of order that lies between 1 and 2.
Ahmed Salem, Lamya Almaghamsi
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Asymptotic-sequentially solution style for the generalized Caputo time-fractional Newell–Whitehead–Segel system

Advances in Difference Equations, 2019
The Caputo fractional version of the generalized Newell–Whitehead–Segel model is considered. We introduced a numerical scheme to solve analytically the proposed application.
Mohammed Ali, Marwan Alquran, Imad Jaradat   +2 more
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A New Method for Solving Sequential Fractional Wave Equations

Journal of Mathematics, 2023
In this article, we focus on two classes of fractional wave equations in the context of the sequential Caputo derivative. For the first class, we derive the closed-form solution in terms of generalized Mittag–Leffler functions.
Sondos M. Syam, Z. Siri, R. Md. Kasmani, Kenan Yildirim   +3 more
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Fractional Sequential Coupled Systems of Hilfer and Caputo Integro-Differential Equations with Non-Separated Boundary Conditions

Axioms
In studying boundary value problems and coupled systems of fractional order in (1,2], involving Hilfer fractional derivative operators, a zero initial condition is necessary.
Ayub Samadi, Sotiris K. Ntouyas, Jessada Tariboon   +2 more
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New Sequential Fractional Differential Equations with Mixed-Type Boundary Conditions

Journal of Function Spaces, 2020
In this paper, we introduce new sequential fractional differential equations with mixed-type boundary conditions CDq+kCDq−1ut=ft,ut,CDq−1ut,t∈0,1,α1u0+β1u1+γ1Iruη=ε1,η∈0,1,α2u′0+β2u′1+γ2Iru′η=ε2, where q∈1,2 is a real number, k,r>0,αi,βi,γi,εi∈ℝ,i=1,2 ...
Haiyan Zhang, Yaohong Li, Jingbao Yang
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On four-point fractional q-integrodifference boundary value problems involving separate nonlinearity and arbitrary fractional order

Boundary Value Problems, 2018
In this paper, we study a sequential Caputo fractional q-integrodifference equation with fractional q-integral and Riemann–Liouville fractional q-derivative boundary value conditions.
Nichaphat Patanarapeelert, Thanin Sitthiwirattham   +1 more
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Mixed Hilfer and Caputo Fractional Riemann–Stieltjes Integro-Differential Equations with Non-Separated Boundary Conditions

Mathematics
In this paper, we investigate a sequential fractional boundary value problem which contains a combination of Hilfer and Caputo fractional derivative operators and non-separated boundary conditions.
Ayub Samadi, Sotiris K. Ntouyas, Jessada Tariboon   +2 more
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Parallelization of a Numerical Algorithm for Solving the Cauchy Problem for a Nonlinear Differential Equation of Fractional Variable Order Using OpenMP Technology

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2023
The article presents a software implementation of a parallel efficient and fast computational algorithm for solving the Cauchy problem for a nonlinear differential equation of a fractional variable order.
Tverdyi, D.A., Parovik, R.I., Hayotov, A.R., Boltaev, A.K.   +3 more
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Existence theory for sequential fractional differential equations with anti-periodic type boundary conditions

Open Mathematics, 2016
We develop the existence theory for sequential fractional differential equations involving Liouville-Caputo fractional derivative equipped with anti-periodic type (non-separated) and nonlocal integral boundary conditions.
Aqlan Mohammed H., Alsaedi Ahmed, Ahmad Bashir, Nieto Juan J.   +3 more
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Theory on Linear L-Fractional Differential Equations and a New Mittag–Leffler-Type Function

Fractal and Fractional
The L-fractional derivative is defined as a certain normalization of the well-known Caputo derivative, so alternative properties hold: smoothness and finite slope at the origin for the solution, velocity units for the vector field, and a differential ...
Marc Jornet
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