Mohammad Esmael Samei
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View article: Solvability of the system involving the mixed derivative and integral Erdélyi-Kober equations of fractional order
Solvability of the system involving the mixed derivative and integral Erdélyi-Kober equations of fractional order Open
We study the solvability of the system to the mixed derivative and integral Erdélyi-Kober equations with fractional order of a function with respect to new development of fixed point theorem, where the operator is proposed to be compact on…
View article: A Novel Study on the Non-Negative Solution of an Eighth-Order BVP
A Novel Study on the Non-Negative Solution of an Eighth-Order BVP Open
In this article, we investigate the existence of non-negative solutions for a boundary value problem associated with an eighth-order differential equation \(\lambda^{(8)} ( \varpi) = \psi( \varpi, \lambda(\varpi)\), \(\lambda^{(1)}( \varpi…
View article: Best proximity point (pair) theorem using ( α − ς ) Meir-Keeler condensing operators in Busemann convex spaces
Best proximity point (pair) theorem using ( α − ς ) Meir-Keeler condensing operators in Busemann convex spaces Open
Two new class of condensing operators, called ( α − ς ) and ( β − ς ) Meir-Keelercondensing operators, are introduced and used to investigate the existence of best proximity points (pairs) for cyclic (noncyclic) relatively nonexpansive map…
View article: Solvability and stability results for coupled hybrid system with sequential Caputo fractional derivatives
Solvability and stability results for coupled hybrid system with sequential Caputo fractional derivatives Open
We obtain new results regarding the existence, uniqueness, and stability of solutions for a class of fractional Caputo sequential coupled hybrid system which are investigated by applying fixed-point theorems such as Banach’s contraction ma…
View article: An analysis of nonlinear integro-differential equations with four-point nonlocal BVP using Ψ-Caputo fractional derivative
An analysis of nonlinear integro-differential equations with four-point nonlocal BVP using Ψ-Caputo fractional derivative Open
This study establishes the existence and uniqueness of solutions for a nonlocal BVP of fractional order 1 < ζ ≤ 2 $1 < \zeta \leq 2$ , characterized by four-point boundary conditions and nonlinear integro-differential equations. The approa…
View article: Using block-pulse basis functions for solving the stochastic fractional integral equations with respect to fractional Brownian motion numerically
Using block-pulse basis functions for solving the stochastic fractional integral equations with respect to fractional Brownian motion numerically Open
The current study pursues the specific goal of determining the approximate solution of the linear stochastic fractional Itô-Volterra integral equations which has been caused by fractional Brownian motion under Hurst parameter 0 < H < 1 $0 …
View article: Analysis of the existence of solutions for a general class of equations, including the q-Erdélyi-Kober integral
Analysis of the existence of solutions for a general class of equations, including the q-Erdélyi-Kober integral Open
In this manuscript, we intend to investigate the existence of solutions for a generalized Erdély-Kober integral equations based on Petryshyan theorem associated with measure of noncompactness in Banach space. Under less stringent condition…
View article: Differential and Integral Equations Involving Multivariate Special Polynomials with Applications in Computer Modeling
Differential and Integral Equations Involving Multivariate Special Polynomials with Applications in Computer Modeling Open
This work introduces a new family of multivariate hybrid special polynomials, motivated by their growing relevance in mathematical modeling, physics, and engineering. We explore their core properties, including recurrence relations and shi…
View article: On Wolfe duality for mathematical programs with equilibrium constraints using directional convexificators
On Wolfe duality for mathematical programs with equilibrium constraints using directional convexificators Open
In this paper, we consider a mathematical programming problem with equilibrium constraints (MPEC), where its functions are not necessarily smooth, continuous, or locally Lipschitz. Using directional convexificators, initially developed by …
View article: Almost, Weakly and Nearly Lindel¨of Ideal Topological Spaces
Almost, Weakly and Nearly Lindel¨of Ideal Topological Spaces Open
The concepts of almost, weakly and nearly Lindelöf closed ideal topological spaces are introduced in this work. We examine their subspaces and the connection between the subspaces and their topological characteristics and explaine how coun…
View article: On Two Classes of q‐Fractional Differential, Nonhybrid Equation and Hybrid Inclusion, Via Multiterm–Point‐Strip Conditions
On Two Classes of q‐Fractional Differential, Nonhybrid Equation and Hybrid Inclusion, Via Multiterm–Point‐Strip Conditions Open
In this research, achieving the results of existence and stability for two classes of ‐fractional differential, in the first step, a nonhybrid equations under nonhybrid, integro, multiterm–point‐strip type conditions and in the second step…
View article: Unique Solution Analysis for Generalized Caputo-Type Fractional BVP via Banach Contraction
Unique Solution Analysis for Generalized Caputo-Type Fractional BVP via Banach Contraction Open
In this manuscript, we investigate the existence of a unique solution to a boundary value problem (BVP) involving generalized fractional derivatives of the Caputo type. Our approach is grounded in the Banach contraction mapping theorem, wh…
View article: On Analysis of Single Solution for a Class of BVP with Generalized Caputo-Katugampola Fractional Derivative
On Analysis of Single Solution for a Class of BVP with Generalized Caputo-Katugampola Fractional Derivative Open
In this paper, we endeavor to simulate the existence of a single solution for a BVP for Caputo-Katugampola fractional derivative in the manner theorem of contraction of Banach. We extrapolate similar examples to interpret the conclusions r…
View article: Existence of solutions to a fractional differential equation involving the Caputo q-derivative with boundary conditions in Banach spaces
Existence of solutions to a fractional differential equation involving the Caputo q-derivative with boundary conditions in Banach spaces Open
Generalized boundary value problems (BVP) typically cover a wide range of equations. In this study, we focus on a generalization of Caputo-type fractional discrete differential equations that involve two or more fractional q-integrals. We …
View article: Analysis study of hybrid Caputo-Atangana-Baleanu fractional pantograph system under integral boundary conditions
Analysis study of hybrid Caputo-Atangana-Baleanu fractional pantograph system under integral boundary conditions Open
This manuscript investigates the qualitative analysis of a new hybrid fractional pantograph system involving AtanganaBaleanu-Caputo derivatives, complemented by hybrid integral boundary conditions. Dhage’s fixed point theorem is employed t…
View article: New generalized results of (A,)-expansive operators on Hilbert spaces with practical comparison
New generalized results of (A,)-expansive operators on Hilbert spaces with practical comparison Open
In this research, we obtain some result related to a category of linear bounded operators, which is known as $(A, m)$-expansive operators acting on infinite dimentional Hilbert space. Moreover, we provide sufficient conditions which $(A, m…
View article: On Multi Order Nonlinear Langevin Type of $$\mathbb {FDE}$$ Subject to Multi-Point Boundary Conditions
On Multi Order Nonlinear Langevin Type of $$\mathbb {FDE}$$ Subject to Multi-Point Boundary Conditions Open
This research paper is about studying complicated equations called multi-order nonlinear fractional Langevin differential equations. These equations are analyzed when they have specific conditions at multiple points. The paper uses two mat…
View article: An Analytical Approach to Solve a System of 2D Nonlinear Volterra–Fredholm Integral Equations on Nonrectangular Domains Based on Radial Basis Functions
An Analytical Approach to Solve a System of 2D Nonlinear Volterra–Fredholm Integral Equations on Nonrectangular Domains Based on Radial Basis Functions Open
We aim to introduce a numerical method to solve a system of two‐dimensional nonlinear integral equations of Volterra–Fredholm type with the second kind on nonrectangular domains. The method estimates the solutions of the system by a discre…
View article: Existence and Stability Results for a Modified Diffusion Equation Involving Atangana–Baleanu–Caputo Fractional Derivative
Existence and Stability Results for a Modified Diffusion Equation Involving Atangana–Baleanu–Caputo Fractional Derivative Open
This article shows another display of the modified diffusion equation of fractional order involving Atangana–Baleanu–Caputo fractional derivative. The manuscript contains three major cases: the existence of a solution, uniqueness of the so…
View article: Non-separated inclusion problem via generalized Hilfer and Caputo operators
Non-separated inclusion problem via generalized Hilfer and Caputo operators Open
We aimed to analyze a new class of sequential fractional differential inclusions that involves a combination of $ \varsigma $-Hilfer and $ \varsigma $-Caputo fractional derivative operators, along with non-separated boundary conditions. Tw…
View article: Generalized ( <i>ψ</i> , <i>φ</i> )-contraction to investigate Volterra integral inclusions and fractal fractional PDEs in super-metric space with numerical experiments
Generalized ( <i>ψ</i> , <i>φ</i> )-contraction to investigate Volterra integral inclusions and fractal fractional PDEs in super-metric space with numerical experiments Open
This article demonstrates the behavior of generalized ( ψ , φ \psi ,\varphi )-type contraction mappings involving expressions of rational-type in the context of super-metric spaces. In this direction, we obtained unique and common fixed …
View article: On solution of non-linear FDE under tempered Ψ−Caputo derivative for the first-order and three-point boundary conditions
On solution of non-linear FDE under tempered Ψ−Caputo derivative for the first-order and three-point boundary conditions Open
In this article, the existence and uniqueness of solutions for non-linear fractional differential equation with Tempered Ψ−Caputo derivative with three-point boundary conditions were studied. The existence and uniqueness of the solution we…
View article: On the existence of solutions to fractional differential equations involving Caputo q-derivative in Banach spaces
On the existence of solutions to fractional differential equations involving Caputo q-derivative in Banach spaces Open
The generalization of BVPs always covers a wide range of equations. Our choice in this research is the generalization of Caputo-type fractional discrete differential equations that include two or more fractional q-integrals. We analyze the…
View article: Efficient results on fractional Langevin-Sturm-Liouville problem via generalized Caputo-Atangana-Baleanu derivatives
Efficient results on fractional Langevin-Sturm-Liouville problem via generalized Caputo-Atangana-Baleanu derivatives Open
In this paper, we investigate the generalized Langevin-Sturm-Liouville differential problems involving Caputo-Atangana-Baleanu fractional derivatives of higher orders with respect to another positive, increasing function denoted by ρ . The…
View article: An existence of the solution for generalized system of fractional q-differential inclusions involving p-Laplacian operator and sequential derivatives
An existence of the solution for generalized system of fractional q-differential inclusions involving p-Laplacian operator and sequential derivatives Open
In this paper, we investigate the presence of positive solutions for system of fractional q-differential inclusions involving sequential derivatives with respect to the p-Laplacian operator. By using fixed point technique we obtain a new s…
View article: Some existence results for a nonlinear q-integral equations via M.N.C and fixed point theorem Petryshyn
Some existence results for a nonlinear q-integral equations via M.N.C and fixed point theorem Petryshyn Open
The paper focuses on establishing sufficient conditions for the existence of the solutions in some functional q-integral equations, particularly in Banach spaces. In this method, the technique of measures of noncompactness and Petryshyn’s …
View article: Existence of solutions to a fractional differential equation involving the Caputo Q-derivative with boundary conditions in Banach spaces
Existence of solutions to a fractional differential equation involving the Caputo Q-derivative with boundary conditions in Banach spaces Open
The generalization of boundary value problems always covers a wide range of equations. Our choice in this research is the generalization of Caputo-type fractional discrete differential equations that include two or more fractional q-integr…