Advances in Differential Equations and Control Processes

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Mathematics

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Explore the latest advances in differential equations and their applications in control processes. Discover new theories and methods for complex system analysis.

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Articles in this Journal

EXISTENCE OF MILD SOLUTION FOR $(k, \Psi)$-HILFER FRACTIONAL CAUCHY VALUE PROBLEM OF SOBOLEV TYPE

In the context of solving $(k, \Psi)$-Hilfer fractional differential equations with Sobolev type, we initially explore a more generalized version of the $(\alpha, \beta, k)$-resolvent family. Subsequently, we present various properties ass...

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THERMAL BEHAVIOUR OF A CIRCULAR PLATE UNDER CAPUTO-FABRIZIO FRACTIONAL IMPACT WITH SECTIONAL HEATING

Recent advances in the understanding of the precise physical thermal behaviour of various solids under the effect of fractional-order derivatives have boosted the study of thermoelasticity, which is primarily important in various industria...

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AN INNOVATIVE METHOD FOR SOLVING LINEAR AND NONLINEAR FRACTIONAL TELEGRAPH EQUATIONS

This work investigates and solves the time-fractional telegraph equations (TFTEs) occurring in electromagnetism, which serve as mathematical models in several practically significant applied research domains. Elzaki transform (ET) is emplo...