Results 41 to 50 of about 650,024 (164)
Abstract Natural porous media are highly heterogeneous, with flow and transport controlled by pore‐space morphology and connectivity. Consequently, classical continuum models often fail to describe observed transport under strong heterogeneity. A key challenge is identifying physically interpretable transport models from sparse observational data.
Jinwoo Im +3 more
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Existence Results for Fuzzy Differential Equations with ψ-Hilfer Fractional Derivative
<p>This manuscript concerns the fuzzy differential equation involving ψ-Hilfer type fractional derivative with nonlocal condition. By using successive approximation, we obtain the existence, uniqueness results of solution for ψ-Hilfer fuzzy ...
K. Kanagarajan, R. Vivek, D. Vivek, E. M. Elsayed
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Sobolev-type nonlocal fractional differential systems with Clarke’s subdifferential are studied. Sufficient conditions for controllability and constrained controllability for Sobolev-type nonlocal fractional differential systems with Clarke’s ...
Hamdy M. Ahmed +3 more
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Existence and Uniqueness of Generalised Fractional Cauchy-Type Problem
In this paper, we study the existence and uniqueness of Generalized Fractional Cauchy-type problem involving Hilfer-Hadamard-type fractional derivative for a nonlinear fractional differential equation.
Ahmad Y. A. Salamoonı, D.d. Pawar
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Some k-fractional extension of Grüss-type inequalities via generalized Hilfer–Katugampola derivative
In this paper, we prove several inequalities of the Grüss type involving generalized k-fractional Hilfer–Katugampola derivative. In 1935, Grüss demonstrated a fascinating integral inequality, which gives approximation for the product of two functions ...
Samaira Naz +2 more
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In order to extend the basic theory of boundary value problems, the existence of solutions for a class of Hilfer fractional impulsive differential equations with finite impulsive points was studied.
Chunjing GUO +3 more
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ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
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In this manuscript, we establish the mild solutions for Hilfer fractional derivative integro-differential equations involving jump conditions and almost sectorial operator. For this purpose, we identify the suitable definition of a mild solution for this
Nichaphat Patanarapeelert +3 more
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Pore‐Scale Study of Fluid‐Fluid Interfacial Area During Primary Drainage in Porous Media
Abstract We performed pore‐scale numerical simulations using the volume of fluid (VOF) method to investigate how displacement regimes, geometric disorder, and wettability influence fluid‐fluid interfacial area awn $\left({a}_{wn}\right)$ during primary drainage. We partitioned awn ${a}_{wn}$ into two components: the advancing front awn,f $\left({a}_{wn,
Mingfeng Wang +2 more
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In this article, we introduce a class of stochastic matrix control functions to stabilize a nonlinear fractional Volterra integro-differential equation with Ψ-Hilfer fractional derivative.
Reza Chaharpashlou, Reza Saadati
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