Results 21 to 30 of about 232 (127)
Existence and stability of solution to a toppled systems of differential equations of non-integer order [PDF]
, 2017 The aim of this paper is developing conditions that guarantee the existence of a solution to a toppled system of differential equations of noninteger order with fractional integral boundary conditions where the nonlinear functions involved in the ...
Shah, Kamal +7 more
core +2 more sources
Multiplicity solutions of a class fractional Schrödinger equations
Open Mathematics, 2017 In this paper, we study the existence of nontrivial solutions to a class fractional Schrödinger equations (−Δ)su+V(x)u=λf(x,u)inRN, $$ {( - \Delta )^s}u + V(x)u = \lambda f(x,u)\,\,{\rm in}\,\,{\mathbb{R}^N}, $$ where (−Δ)su(x)=2limε→0∫RN∖Bε(X)u(x)−u(y ...
Jia Li-Jiang +3 more
doaj +1 more source
On a Class of Caputo Time Fractional Problems with Boundary Integral Conditions
Moroccan Journal of Pure and Applied Analysis, 2021 The aim of this paper is to work out the solvability of a class of Caputo time fractional problems with boundary integral conditions. A generalized formula of integration is demonstrated and applied to establish the a priori estimate of the solution ...
Aggoun Karim, Merad Ahcene
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Existence of periodic solutions to fractional p(z)-Laplacian parabolic problems [PDF]
We consider a class of nonlinear parabolic initial boundary value problems having the fractional p(z)-Laplacian operator. By combining variable exponent fractional Sobolev spaces with topological degree theory, we establish theexistence of a time ...
MELLIANI, Said +2 more
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On Dirichlet problem for fractional p-Laplacian with singular non-linearity
Advances in Nonlinear Analysis, 2016 In this article, we study the following fractional p-Laplacian equation with critical growth and singular non-linearity:
Mukherjee Tuhina, Sreenadh Konijeti
doaj +1 more source
On Cauchy problem for pseudo-parabolic equation with Caputo-Fabrizio operator
Demonstratio Mathematica, 2023 In this article, we considered the pseudo-parabolic equation with Caputo-Fabrizio fractional derivative. This equation has many applications in different fields, such as science, technology, and so on.
Nghia Bui Dai +2 more
doaj +1 more source
A Higher‐Order L1‐2‐3 Numerical Method for Time‐Fractional Volterra Integrodifferential Equations
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.This paper investigates the numerical solution of time‐fractional Volterra integrodifferential equations that arise in many real‐life problems. A higher‐order numerical scheme is proposed using the L1‐2‐3 method for the time‐fractional derivative, Simpson’s 1/3 rule approximates the integral part, and the spatial derivatives are approximated using the ...
Aynalem Tafere Chekole +4 more
wiley +1 more source
A Poster about the Recent History of Fractional Calculus [PDF]
, 2010 MSC 2010: 26A33, 05C72, 33E12, 34A08, 34K37, 35R11, 60G22In the last decades fractional calculus became an area of intense re-search and development.
J. T. MACHADO +4 more
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On fractional p-Laplacian problems with local conditions
Advances in Nonlinear Analysis, 2018 In this paper, we deal with fractional p-Laplacian equations of the ...
Li Anran, Wei Chongqing
doaj +1 more source
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In this work, we study a family of nonlinear fractional dynamical systems and propose a numerical procedure based on the power series iterative method (PSIM). The systems are formulated in terms of the Atangana–Baleanu–Caputo (ABC) fractional derivative, which is well‐suited to the modeling of memory and nonlocal effects.
Faten H. Damag +3 more
wiley +1 more source