Novel Investigation of Fractional-Order Cauchy-Reaction Diffusion Equation Involving Caputo-Fabrizio Operator

<div>(a) <svg height="11.7782pt" id="M148" style="vertical-align:-3.42938pt" version="1.1" viewbox="-0.0498162 -8.34882 29.1939 11.7782" width="29.1939pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M583 333C583 398 556 448 506 448C465 448 403 428 328 383C238 329 167 252 115 162C110 186 106 208 106 232C106 311 133 374 194 424L176 448C81 390 29 315 29 201C29 144 44 95 69 62C43 -14 29 -91 29 -141C29 -196 67 -261 115 -261C181 -261 246 -214 246 -126C246 -76 228 -51 192 -8C163 27 152 43 138 86C174 178 224 250 294 305C361 358 425 392 461 392C479 392 496 372 496 316C496 199 462 38 386 38C366 38 340 66 324 108C322 114 307 116 298 111C277 99 270 84 270 65C270 29 304 -12 358 -12C384 -12 423 3 469 41C535 96 583 223 583 333ZM198 -142C198 -181 173 -205 149 -205C122 -205 94 -174 94 -121C94 -92 101 -42 114 6C157 -37 198 -83 198 -142Z"></path></g><g transform="matrix(.013,0,0,-0.013,11.51,0)"><path d="M535 323V373H52V323H535ZM535 138V188H52V138H535Z"></path></g><g transform="matrix(.013,0,0,-0.013,22.773,0)"><path d="M384 0V27C293 34 287 42 287 114V635C232 613 172 594 109 583V559L157 557C201 555 205 550 205 499V114C205 42 199 34 109 27V0H384Z"></path></g></svg> and (b) the fractional-order <svg height="11.7782pt" id="M149" style="vertical-align:-3.42938pt" version="1.1" viewbox="-0.0498162 -8.34882 38.4324 11.7782" width="38.4324pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M583 333C583 398 556 448 506 448C465 448 403 428 328 383C238 329 167 252 115 162C110 186 106 208 106 232C106 311 133 374 194 424L176 448C81 390 29 315 29 201C29 144 44 95 69 62C43 -14 29 -91 29 -141C29 -196 67 -261 115 -261C181 -261 246 -214 246 -126C246 -76 228 -51 192 -8C163 27 152 43 138 86C174 178 224 250 294 305C361 358 425 392 461 392C479 392 496 372 496 316C496 199 462 38 386 38C366 38 340 66 324 108C322 114 307 116 298 111C277 99 270 84 270 65C270 29 304 -12 358 -12C384 -12 423 3 469 41C535 96 583 223 583 333ZM198 -142C198 -181 173 -205 149 -205C122 -205 94 -174 94 -121C94 -92 101 -42 114 6C157 -37 198 -83 198 -142Z"></path></g><g transform="matrix(.013,0,0,-0.013,11.51,0)"><path d="M535 323V373H52V323H535ZM535 138V188H52V138H535Z"></path></g><g transform="matrix(.013,0,0,-0.013,22.773,0)"><path d="M241 635C89 635 35 457 35 312C35 153 89 -12 240 -12C390 -12 443 166 443 312C443 466 390 635 241 635ZM238 602C329 602 354 454 354 312C354 172 330 22 240 22C152 22 124 173 124 313S148 602 238 602Z"></path></g><g transform="matrix(.013,0,0,-0.013,29.013,0)"><path d="M113 -12C146 -12 170 11 170 46C170 78 146 103 114 103S58 78 58 46C58 11 82 -12 113 -12Z"></path></g><g transform="matrix(.013,0,0,-0.013,31.977,0)"><path d="M249 635C141 635 70 555 70 471C70 401 114 353 179 316C143 294 106 267 90 252C68 231 45 202 45 157C45 50 130 -12 237 -12C322 -12 435 52 435 169C435 256 372 304 303 343C349 374 375 398 383 407C401 429 411 458 411 487C411 569 344 635 249 635ZM238 603C285 603 337 567 337 482C337 422 310 385 276 358C205 393 145 426 145 500C145 552 179 603 238 603ZM248 20C183 20 125 70 125 163C125 218 158 268 206 300C284 261 355 217 355 143C355 66 308 20 248 20Z"></path></g></svg> of Example <a href="https://static.hindawi.com/articles/jfs/volume-2022/4284060/figures/#ex1">10</a>.</div>

Journal of Function Spaces

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Figure 4

Figure 4: Novel Investigation of Fractional-Order Cauchy-Reaction Diffusion Equation Involving Caputo-Fabrizio Operator 