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Novel analysis of nonlinear seventh-order fractional Kaup–Kupershmidt equation via the Caputo operator
In this work, we use two unique methodologies, the homotopy perturbation transform method and Yang transform decomposition method, to solve the...
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Bitsadze-Samarsky type problems with double involution
In this paper, the solvability of a new class of nonlocal boundary value problems for the Poisson equation is studied. Nonlocal conditions are...
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Trending on the use of Google mobility data in COVID-19 mathematical models
Google mobility data has been widely used in COVID-19 mathematical modeling to understand disease transmission dynamics. This review examines the...
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On the study of three-dimensional compressible Navier–Stokes equations
This work is devoted to the study of three-dimensional compressible Navier–Stokes equations on unstructured meshes. The approach used is based on...
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Global dynamics of a diffusive competitive Lotka–Volterra model with advection term and more general nonlinear boundary condition
We investigate a competitive diffusion–advection Lotka–Volterra model with more general nonlinear boundary condition. Based on some new ideas,...
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A modified fuzzy Adomian decomposition method for solving time-fuzzy fractional partial differential equations with initial and boundary conditions
This research article introduces a novel approach based on the fuzzy Adomian decomposition method (FADM) to solve specific time fuzzy fractional...
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Generalized kinetic theory of coarse-grained systems. I. Partial equilibrium and Markov approximations
The general kinetic theory of coarse-grained systems is presented in the abstract formalism of communication theory developed by Shannon and Weaver,...
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Generalized Tikhonov regularization method for an inverse boundary value problem of the fractional elliptic equation
This research studies the inverse boundary value problem for fractional elliptic equation of Tricomi–Gellerstedt–Keldysh type and obtains a condition...
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Ψ-Bielecki-type norm inequalities for a generalized Sturm–Liouville–Langevin differential equation involving Ψ-Caputo fractional derivative
The present research work investigates some new results for a fractional generalized Sturm–Liouville–Langevin (FGSLL) equation involving the Ψ -Caputo...
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Variance of a strongly additive function defined on random permutations
Inspired by unfading popularity of the Turán–Kubilius inequality for additive number theoretic functions within the last decades, we examine the...
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On the existence of solutions for nonlocal sequential boundary fractional differential equations via ψ-Riemann–Liouville derivative
The purpose of this paper is to study a generalized Riemann–Liouville fractional differential equation and system with nonlocal boundary conditions....
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Study of a class of fractional-order evolution hybrid differential equations using a modified Mittag-Leffler-type derivative
This work is devoted to using topological degree theory to establish a mathematical analysis for a class of fractional-order evolution hybrid...
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Blow-up of solutions for a system of nonlocal singular viscoelastic equations with sources and distributed delay terms
In this paper, we investigate a scenario concerning a coupled nonlocal singular viscoelastic equation with sources and distributed delay terms. By...
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Weighted fractional inequalities for new conditions on h-convex functions
We use a new function class called B -function to establish a novel version of Hermite–Hadamard inequality for weighted ψ -Hilfer operators....
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Highly Non-contractive Iterated Function Systems on Euclidean Space Can Have an Attractor
Iterated function systems (IFSs) and their attractors have been central to the theory of fractal geometry almost from its inception. Moreover,...
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A q-analogue for partial-fraction decomposition of a rational function and its application
In this paper, by using the residue method of complex analysis, we obtain a q -analogue for partial-fraction decomposition of the rational function
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