Search Results - "George, Reny"
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1
On the Existence and Stability of a Neutral Stochastic Fractional Differential System
Published in Fractal and fractional (01-04-2022)“…The main purpose of this paper is to investigate the existence and Ulam-Hyers stability (U-Hs) of solutions of a nonlinear neutral stochastic fractional…”
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2
Refinements to Relation-Theoretic Contraction Principle
Published in Axioms (01-07-2022)“…After the appearance of relation-theoretic contraction principle proved in a metric space equipped with an amorphous binary relation (often termed as…”
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3
Controlled Extended Branciari Quasi-b-Metric Spaces, Results, and Applications to Riesz-Caputo Fractional Differential Equations and Nonlinear Matrix Equations
Published in Fractal and fractional (01-01-2024)“…We introduce the concept of controlled extended Branciari quasi-b-metric spaces, as well as a Gq-implicit type mapping. Under this new space setting, we derive…”
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4
Collocation Approach Based on an Extended Cubic B-Spline for a Second-Order Volterra Partial Integrodifferential Equation
Published in Journal of function spaces (30-04-2022)“…This paper focuses on an efficient spline-based numerical technique for numerically addressing a second-order Volterra partial integrodifferential equation…”
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5
Some multidimensional fixed point theorems for nonlinear contractions in C-distance spaces with applications
Published in Journal of inequalities and applications (30-01-2024)“…In this manuscript, we use the concept of multidimensional fixed point in a generalized space, namely, C -distance space with some nonlinear contraction…”
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6
Common and Coincidence Fixed-Point Theorems for ℑ-Contractions with Existence Results for Nonlinear Fractional Differential Equations
Published in Fractal and fractional (01-10-2023)“…In this paper, we derive the coincidence fixed-point and common fixed-point results for ℑ-type mappings satisfying certain contractive conditions and…”
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7
Caristi’s Fixed Point Theorem in Cone Metric Space
Published in Journal of function spaces (01-01-2022)“…In this paper, we provide a short, comprehensive, and brief proof for Caristi-Kirk fixed point result for single and set-valued mappings in cone metric spaces…”
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8
Solution of Integral Equations Using Some Multiple Fixed Point Results in Special Kinds of Distance Spaces
Published in Mathematics (Basel) (01-12-2022)“…In this paper, we explore some extensions of multiple fixed point results for various distance spaces such as s-distance space, s,q-distance space, and…”
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9
A Theoretical Analysis of a Fractional Multi-Dimensional System of Boundary Value Problems on the Methylpropane Graph via Fixed Point Technique
Published in Mathematics (Basel) (01-02-2022)“…Few studies have investigated the existence and uniqueness of solutions for fractional differential equations on star graphs until now. The published papers on…”
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10
Common Positive Solution of Two Nonlinear Matrix Equations Using Fixed Point Results
Published in Mathematics (Basel) (01-09-2021)“…We discuss a pair of nonlinear matrix equations (NMEs) of the form X=R1+∑i=1kAi*F(X)Ai, X=R2+∑i=1kBi*G(X)Bi, where R1,R2∈P(n), Ai,Bi∈M(n), i=1,⋯,k, and the…”
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11
Darbo’s Fixed-Point Theorem: Establishing Existence and Uniqueness Results for Hybrid Caputo–Hadamard Fractional Sequential Differential Equations
Published in Fractal and fractional (01-06-2024)“…This work explores the existence and uniqueness criteria for the solution of hybrid Caputo–Hadamard fractional sequential differential equations (HCHFSDEs) by…”
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12
Fixed Point Theorems for Nonexpansive Mappings under Binary Relations
Published in Mathematics (Basel) (01-09-2021)“…In the present article, we establish relation-theoretic fixed point theorems in a Banach space, satisfying the Opial condition, using the R-Krasnoselskii…”
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13
Analysis on a coupled system of two sequential hybrid BVPs with numerical simulations to a model of typhoid treatment
Published in Alexandria engineering journal (01-12-2022)“…In the present paper, we analyze a coupled system of nonlinear three point boundary value problems (BVPs) consisting of a coupled system of higher order hybrid…”
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14
Fixed Point Theory and the Liouville–Caputo Integro-Differential FBVP with Multiple Nonlinear Terms
Published in Journal of function spaces (2022)“…This work is reserved for the study of a special category of boundary value problems (BVPs) consisting of Liouville–Caputo integro-differential equations with…”
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15
On a Unique Solution of a Class of Stochastic Predator–Prey Models with Two-Choice Behavior of Predator Animals
Published in Symmetry (Basel) (01-05-2022)“…Simple birth–death phenomena are frequently examined in mathematical modeling and probability theory courses since they serve as an excellent foundation for…”
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16
A Numerical Scheme and Application to the Fractional Integro-Differential Equation Using Fixed-Point Techniques
Published in Fractal and fractional (01-01-2024)“…In this paper, we introduce the notion of orthogonal α–F–convex contraction mapping and prove some fixed-point theorems for self-mapping in orthogonal complete…”
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Survivability of AIDS Patients via Fractional Differential Equations with Fuzzy Rectangular and Fuzzy b-Rectangular Metric like Spaces
Published in Symmetry (Basel) (01-11-2022)“…As it is not always true that the distance between the points in fuzzy rectangular metric spaces is one, so we introduce the notions of rectangular and…”
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18
Orthogonal neutrosophic 2-metric spaces
Published in Journal of inequalities and applications (11-09-2023)“…In this study, we introduce the notion of an orthogonal neutrosophic 2-metric space and prove the common fixed-point theorem on an orthogonal neutrosophic…”
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19
Dual uniformities in function spaces over uniform continuity
Published in Open mathematics (Warsaw, Poland) (31-12-2022)“…The notion of dual uniformity is introduced on , the uniform space of uniformly continuous mappings between and , where and are two uniform spaces. It is shown…”
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20
Solution and Stability of Quartic Functional Equations in Modular Spaces by Using Fatou Property
Published in Journal of function spaces (06-05-2022)“…We propose a novel generalized quartic functional equation and investigate its Hyers–Ulam stability in modular spaces using a fixed point technique and the…”
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