Existence and uniqueness of solutions for nonlinear Volterra‐Fredholm integro‐differential equation of fractional order with boundary conditions
Sign Up to like & getrecommendations! Published in 2019 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.5845
Abstract: In this paper, we established some results concerning the existence and uniqueness of a nonlinear Volterra‐Fredholm integro‐differential equation of Caputo fractional order subject to the boundary value conditions. These new results are obtained by applying… read more here.
Keywords: existence uniqueness; volterra fredholm; integro differential; differential equation ... See more keywords
Discrete fractional solutions to the k‐hypergeometric differential equation
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DOI: 10.1002/mma.6460
Abstract: In this study, the discrete fractional nabla calculus operator is used to investigate the k‐hypergeometric differential equation for both homogeneous and nonhomogeneous states. To solve the guiding equation, we implement certain classical transformations and also… read more here.
Keywords: discrete fractional; fractional solutions; solutions hypergeometric; differential equation ... See more keywords
Existence Results for a 2nth-Order Differential Equation via Variational Methods
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DOI: 10.1007/s00009-017-1055-y
Abstract: In this paper, we discuss the existence of solutions for a 2nth-order differential equation with Sturm–Liouville operator. Using critical point theorems due to Bonanno and Candito, we prove that there exist at least three classical… read more here.
Keywords: 2nth order; differential equation; existence; order differential ... See more keywords
Improving the Approximation of the First- and Second-Order Statistics of the Response Stochastic Process to the Random Legendre Differential Equation
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DOI: 10.1007/s00009-019-1338-6
Abstract: In this paper, we deal with uncertainty quantification for the random Legendre differential equation, with input coefficient A and initial conditions $$X_0$$X0 and $$X_1$$X1. In a previous study (Calbo et al. in Comput Math Appl… read more here.
Keywords: legendre differential; random legendre; differential equation; response ... See more keywords
A Time-Based Solution for the Graph Isomorphism Problem
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DOI: 10.1007/s00034-019-01279-8
Abstract: This paper is devoted to the problem of isomorphism in graphs and proposes a method based on time response of a differential equation. First it is shown that the solution of a differential equation obtaining… read more here.
Keywords: differential equation; matrix; time; solution ... See more keywords
EPL models with fuzzy imperfect production system including carbon emission: a fuzzy differential equation approach
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DOI: 10.1007/s00500-019-03967-8
Abstract: The paper outlines the production policies for maximum profit of a firm producing imperfect economic lot size with time-dependent fuzzy defective rate under the respective country’s carbon emission rules. Generally in economic production lot-size models,… read more here.
Keywords: fuzzy differential; differential equation; emission; production ... See more keywords
A macroscopic theory for predicting catastrophic phenomena in both biological and mechanical chemical reactions
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DOI: 10.1007/s10015-020-00595-6
Abstract: A possibility for predicting the time-dependent pattern of sickness of human beings, i.e., biological catastrophe, has been shown by proposal of a nonlinear ordinary differential equation, describing temporal features of six macroscopic molecular groups chemically… read more here.
Keywords: differential equation; theory predicting; chemical; equation ... See more keywords
Reflected Backward Stochastic Differential Equation with Jumps and Viscosity Solution of Second Order Integro-Differential Equation Without Monotonicity Condition: Case with the Measure of Lévy Infinite
Sign Up to like & getrecommendations! Published in 2019 at "Acta Mathematica Scientia"
DOI: 10.1007/s10473-019-0312-5
Abstract: We consider the problem of viscosity solution of integro-partial differential equation(IPDE in short) with one obstacle via the solution of reflected backward stochastic differential equations(RBSDE in short) with jumps. We show the existence and uniqueness… read more here.
Keywords: equation; reflected backward; differential equation; viscosity solution ... See more keywords
On the Existence and Stability of Boundary Value Problem for Differential Equation with Hilfer-Katugampola Fractional Derivative
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DOI: 10.1007/s10473-019-0608-5
Abstract: In this paper, we discuss the existence, uniqueness and stability of boundary value problem for differential equation with Hilfer-Katugampola fractional derivative. The arguments are based upon Schaefer’s fixed point theorem, Banach contraction principle and Ulam… read more here.
Keywords: value problem; problem differential; stability boundary; differential equation ... See more keywords
Stability analysis for uncertain differential equation by Lyapunov’s second method
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DOI: 10.1007/s10700-020-09336-7
Abstract: Uncertain differential equation is a type of differential equation driven by Liu process that is the counterpart of Wiener process in the framework of uncertainty theory. The stability theory is of particular interest among the… read more here.
Keywords: differential equation; lyapunov second; second method; stability ... See more keywords
Optical and W-shaped bright solitons of the conformable derivative nonlinear differential equation
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DOI: 10.1007/s10825-021-01758-9
Abstract: In this paper, we construct diverse solitary wave solutions for the nonlinear differential equation governing wave propagation in the low-pass nonlinear electrical transmission lines with conformable derivatives. However, by employing the new extended direct algebraic… read more here.
Keywords: differential equation; nonlinear differential; electrical transmission; transmission lines ... See more keywords