Application of flatlet oblique multiwavelets to solve the fractional stochastic integro‐differential equation using Galerkin method
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DOI: 10.1002/mma.10017
Abstract: This study introduces a new numerical approach named flatlet oblique multiwavelets (FOMW) to solve fractional‐order stochastic integro‐differential equation (FSI‐DE). The FOMW is used to create an operational matrix of the stochastic integral, which helps transform… read more here.
Keywords: differential equation; solve fractional; stochastic integro; integro differential ... See more keywords
A new representation for the solution of the Richards‐type fractional differential equation
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DOI: 10.1002/mma.10394
Abstract: Richards in [35] proposed a modification of the logistic model to model growth of biological populations. In this paper, we give a new representation (or characterization) of the solution to the Richards‐type fractional differential equation… read more here.
Keywords: new representation; differential equation; solution; amp ... See more keywords
Determination of two unknown functions of different variables in a time‐fractional differential equation
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DOI: 10.1002/mma.10539
Abstract: We study the inverse problem for a differential equation of 2b$$ 2b $$ ‐order with the Caputo fractional derivative over time and Schwartz‐type distribution in its right‐hand side. The generalized solution of the Cauchy problem… read more here.
Keywords: equation; differential equation; time; two unknown ... See more keywords
Existence and uniqueness of solutions for nonlinear Volterra‐Fredholm integro‐differential equation of fractional order with boundary conditions
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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
Accurate Analytic Approximation for a Fractional Differential Equation With a Modified Bessel Function Term
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DOI: 10.1002/mma.70373
Abstract: A new analytical approximation function is proposed to accurately fit the solution of a fractional differential equation of order one‐half, whose nonhomogeneous term is defined by a modified Bessel function of the first kind. The… read more here.
Keywords: equation; fractional differential; differential equation; function ... See more keywords
The maximal regularity of the third‐order differential equation and its applications
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DOI: 10.1002/mma.9844
Abstract: In this work, we study the solvability and maximal regularity questions for the singular third‐order differential equation with unbounded coefficients and some applications. Unlike previously studied cases, the leading and intermediate coefficients of this equation… read more here.
Keywords: equation; differential equation; maximal regularity; order differential ... 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
Sign Up to like & getrecommendations! Published in 2019 at "Mediterranean Journal of Mathematics"
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